Remove save option from the pause menu to instead save ONLY at safehouses?

Would it be possible to remove the save option from the pause menu to instead save only at safehouses through a save marker similar to SR1 and the older GTA games?

I had this idea as I was replaying through the game with some difficulty modifications such as "realistic damage" and "no respawning at the hospital" and I thought maybe it would be cool to add to the challenge and realism factor I'm going for.
 
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