If it was done to me having a King and pawn and the other player just having a King I have a good idea how to play out this for a win by getting the pawn to the back rank if I am in a positioned on the right squares by keeping the pawn behind the King and forcing his King up the board.
I doubt you will have such a chance often. A pawn doesn't mean anything. Even in master level, a pawn often cannot substitute initiative and development.
At your level, don't play for such a small pawn advantage (don't be a pawn grabber). Try to master playing for activity/development/initiative/attacking chance.
For Sure I agree again with you. But you must also get the person you are playing against to agree to it also.
Many players have other thinks to do so I do not think this would work??? Good idea.