Idealized baseband mixer has built-in frequency-dependent phase noise. It might be simpler to use for a single-frequency system with a known phase noise model.
Equivalent Baseband mixer is more general, because it allows the arbitrary oscillator signal (see, for example, the phase noise block in the 'simrf_low_if' demo). The "phase noise" block is used as a noisy oscillator to the two mixers in Hartley Receiver.
With respect to circuit envelope mixer, the closest demo which will explain more is 'simrf_friis'. There you can see the simple chain, where the signal is downconverted by a mixer and a noiseless oscillator.
Idealized baseband mixer would be more suited with respect to single frequency system.
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