It would only take a couple of rulings for them to say those were official acts to shut down much of anything else being raised that appeared to be an official act by a President. The other options are worse - to say there is full immunity for anything a President does while in office (0% chance of happening) or that there is no immunity at all (what you are talking about - a deluge of cases prosecuting Presidents - would happen then).
No. It wouldn't.
That is what you are missing. There are people out there with limitless time to file suits and they would.
to say there is full immunity for anything a President does while in office
That is what the case is now.
I know Trump chaffs you like sand in your underwear but what you seem to want to happen is a very bad idea.
Unless you WANT the entire government to fall apart.