Both models are based on a strain energy density function. NeoHookean is the simplest (mathematically) of all the hyperelastic options, but it also is limited to relatively small strain (<30%) and typically only curve fits well for mildly nonlinear stress strain curves without inflection points.
I would refer you to Section 4.6 of the MAPDL Material Reference Guide available online for a more rigorous explanation of all the hyperelasticity material options.
If NeoHooekan result passes all your validation requirements, then you should be fine to use it.
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