@All, Pega doesn't support any privilege, when conditions, role based access condition for Clear/Delete/Update Adaptive/Predictive Models Buttons in Model Management Page. On top of that, all the base and referenced rules related to Model Management Page are final rules.
Hence we couldn't achieve this ask. Therefore, we ended up disabling Model Management Page itself by customizing pyMainMenu and related Navigation rules based on role visibility conditions.
Please let me know if you are still able to hide/disable this buttons based on any privilege, access roles conditions etc.