A wobbly handle or squeaky hinge is a tiny warning. Screws are slowly working loose with every open and close. If you ignore it, one day the handle might come off in your hand, or the hinge might sag suddenly, misaligning the door.
A quick tighten with a screwdriver when you first notice looseness keeps everything aligned. It also prevents related damage, like screws pulling out larger chunks of wood, or doors scraping the floor because the hinge dropped.
It’s like noticing a small crack in a plate: better to handle it gently and fix the cause than to wait until it breaks across your kitchen floor.