Linearization of custom block functionality.

Simulink offers several blocks to implement custom block functionality:

• MATLAB Function
• MATLAB System
• Level-2 MATLAB S-function
• S-Function

I implemented such a custom block functionality using a MATLAB Function block and discovered that a trigger-based linearization is not working anymore on the created Simulink model. Therefore, I would like to ask, if the above custom blocks have specific limitations with respect to linearization (linmod or dlinmod)?

Which one of them are better adapted for linearization or is the ability to linearize a block only based on its content?