To answer your question of whether ntheorem is clearly superior to amsthm (or the other way round), the answer is unfortunately no as both have advantages and shortcomings.
Feature-wise, ntheorem is clearly ahead of amsthm, but amsthm is more robustly designed, and has, as such, less bugs (of course, depending on how you use the ntheorem package, you may never encounter these bugs, but it's better to be aware of them).
Comparison of features of ntheorem and amsthm
The following table is inspired from the one given in the French FAQ entry about theorem and shows a list of features of each packages, clearly showing that ntheorem can do more things than amsthm.
Examples of ntheorem bugs
Here are a few chosen bugs which can occur in ntheorem and of which you should be aware before deciding whether to use ntheorem or amsthm. All these bugs are specific to ntheorem and do not occur in amsthm.
Break style clash with high material
When using the break style, if you put something a little too high at the start of the theorem, it will overlap with the theorem title:
\documentclass{article}
\usepackage{ntheorem}
\theoremstyle{break}
\newtheorem{theorem}{Theorem}
\begin{document}
\begin{theorem}
$\displaystyle \sum_{n=1}^{+\infty}{\frac{1}{n^2}} = \frac{\pi^2}{6}$
\end{theorem}
\end{document}
Footnote in theorem note
While it may not be a very good pratice to put footnotes in theorem optional arguments, it can be needed some times, but doesn't work with ntheorem (the footnote text will be lost; you must use the \footnotemark/\footnotetext trick):
\begin{theorem}[Fermat's little theorem\footnote{First stated in a letter dated October 18, 1640.}]
...
\end{theorem}
Long theorem note
If the theorem's optional argument is too long (either because the document is in two column mode or because the note is indeed very long), it will hang out of the margin. Here's an example in two column mode:
\documentclass[twocolumn]{article}
\usepackage{lipsum}
\usepackage{ntheorem}
\newtheorem{theorem}{Theorem}
\begin{document}
\lipsum[1]
\begin{theorem}[A very very very very long optional argument]
\lipsum[2]
\end{theorem}
\lipsum[3-5]
\end{document}
Examples of amsthm bugs
Although it has less bugs, amsthm is not completely bug-free. Here's a variant of the "too long theorem optional argument" ntheorem bug, but which only occurs with amsthm if a list is immediately following the theorem head:
\documentclass[twocolumn]{article}
\usepackage{lipsum}
\usepackage{amsthm}
\newtheorem{theorem}{Theorem}
\begin{document}
\lipsum[1]
\begin{theorem}[A very very very very long optional argument]
\begin{enumerate}
\item Bla bla bla.
\item Bla bla bla.
\item Bla bla bla.
\end{enumerate}
\end{theorem}
\lipsum[3-6]
\end{document}
You don't need a sideways table, if you swap rows and columns and reduce the value of \tabcolsep. Here is how I would do it:
\documentclass[12pt]{report}
\usepackage[utf8]{inputenc}%
\usepackage{geometry}%
\usepackage{array, booktabs}
\usepackage{siunitx}%
\usepackage[inline]{ enumitem}
\usepackage{graphicx, rotating}
\usepackage{lipsum}
\sisetup{table-number-alignment=center}
\begin{document}
\begin{table}[!ht]
\footnotesize\setlength{\tabcolsep}{4pt}%
\renewcommand\arraystretch{1.3}
\begin{tabular}{@{}l S[table-format=1.4]*{4}{S[table-format=-1.4]} S[table-format=1.4]*{4}{S[table-format=-1.4]}@{}}
\toprule
& \multicolumn{10}{c}{\bfseries Model } \\
& \bfseries 1 &{\bfseries 2} & {\bfseries 3} & {\bfseries 4} & {\bfseries 5} & {\bfseries 6} & {\bfseries 7} & {\bfseries 8} & {\bfseries 9} & {\bfseries 10} \\
\midrule
$\omega$ &0.2350 & {–} & {–} & 1 & 1 & 0 & 1 & {–} & 1 & 1 \\
$\phi$ & 0.766 & 0.998 &0.892 & {–} & {–} & 0.42 & 0.869 & 0.944 & 0.856 & 1 \\
$\alpha$ & 0.0114 & 0.0032 & 0.0662 & {–} & 0.0054 & 0.0093 & -0.0238 & 0.0241 & -0.115 & -0.0069\\
$\beta$ & 0.0028 & 0.0002 & -0.0028 & {–} & {–} & 0.0012 & 0.0138 & 0.0010 & 0.0207 & 0.0002 \\
\addlinespace
$\gamma_1$ & 0.172 & -0.0058 & -0.0020 & 0.0003 & 0.0010 &0.0052 & -0.0055 & 0.0276 & 0.0005 & -0.0002 \\
$\gamma_2$ & {–} & -0.1887 & -0.0452 & -0.0006 & -0.0002 & {–} & -0.1819 & -0.0508 &-0.0010 & -0.0007\\
$\gamma_3$ & {–} & {–} & -0.2072 & -0.0005 & 0.0006 & {–} & {–} & -0.2321 &0.0037 & -0.0001\\
$\gamma_4$ & {–} & {–} & {–} & 0.0002 & -0.0020 & {–} & {–} & {–} & 0.0005 & -0.0001 \\
\llap{\smash{\rotatebox[origin=c]{90}{\bfseries Paramètres}}\quad} $\gamma_5$ & {–} & {–} & {–} & {–} & 0.0003 & {–} & {–} & {–} & {–} & -0.0001 \\
$\gamma_6$ & {–} & {–} & {–} & {–} & -0.0007 & {–} & {–} & {–} & {–} & -0.0010 \\
\addlinespace
$\theta_1$ & {–} & 0.593 & 0.0389 & 0.823 & 0.8524 & {–} & -0.0055 & 0.8437 & 0.893 & 0.831 \\
$\theta_2$ & {–} & 0.232 & 0.6374 & {–} & 0.2764 & {–} & -0.1810 & -0.0006 & {–} & -0.131 \\
$\theta_3$ & {–} & {–} & {–} & {–} & -0.2393 & {–} & {–} & {–} & {–} & {–} \\
$\theta_4$ & {–} & {–} & {–} & {–} & 0.0348 & {–} & {–} & {–} & {–} & {–} \\
\addlinespace
$\varphi_1$ & {–} & 0.1476 & 0.661 & 0.0454& 0.0395 & {–} & -0.249 & -0.2746 & -0.1 & {–} \\%?
$\varphi_2$ & {–} & -0.1377 & -0.204 & -0.1384 & -0.4177 & {–} & 0.734 & -0.1223 & -0.184 & -0.131 \\
$\varphi_3$ & {–} & -0.0288 & -0.073 & {–} & {–} & {–} & {–} & 0.0077 & {–} & -0.218\\
\bottomrule
\addlinespace
\multicolumn{11}{p{\linewidth}}{
\begin{enumerate*}[label =\arabic*: , itemjoin =\enspace]
\item DSHW(7, 364)\,;
\item BATS(7, 365)\,;
\item BATS(7, 91, 365)\,;
\item TBATS(7, 365)\,;\newline
\item TBATS(7, 91, 365)\,;
\item LR+DSHW(7, 364)\,;
\item LR+BATS(7, 365)\,;
\item LR+BATS(7, 91, 365)\,;\newline
\item LR+TBATS(7, 365)\,;
\item LR+TBATS(7, 91, 365).
\end{enumerate*}}
\end{tabular}
\caption{Parameters chosen for all models}\label{tab:Hparameters}
\end{table}
\lipsum
\end{document}
Best Answer
Here is a way to use a simple
tabularwith the enhancements offered bybooktabs. Trying to learn multiple packages to do similar things all at once before you understand the basics is, I think, a recipe for confusion and frustration.