When was the last time you opened the silver paper on the top of a bottle of booze only to be confronted with a cork that you can’t pop out, because it doesn’t have a muffintop? All you have to do is use a…. Oh, you don’t have a corkscrew.
No problem. Just push the cork inside the bottle – very gently.
As to how long the cork can stay in the plonk without affecting it, I don’t know. If you empty the wine bottle, I don’t think you’ll need to worry about it.