If I have Origin on my laptop for too long, at some point I will be logged out and will no longer be able to access the games, so I wanted to know whether I can delete Origin but continue to play Sims4.
No, that shouldn't be possible.
Shouldn't be possible. But you can try it out. Make a backup copy of your game so that you don't have to download it again in an emergency and delete Origin.
Not possible, because it opens Origin again without showing the user and all the updates, etc. Run via Origin and not via Sims itself
That shouldn't work. Origin aka. EA checks the game's licenses every time it starts, so you always need Origin installed and open to play Sims 4.
This is not possible. You can't even uninstall Origin as long as games running on Origin are installed on the computer.
The reason is easy: Your Origin account is also copy protection and must check whether you have the right to run the software before starting the game.
But I can't really understand your problem either. So what's the problem with simply logging in again?