I wouldn't use cheap bottle wine for cooking.
You're paying more for the bottle than the wine and it airates quickly, pay the same price per liter for cask wine and you just get better cheap wine.
People say not to cook with a wine you wouldn't drink- but then who drinks those wines?
On the basis of cost you can get away with cheaper wine in most cases as long as it's not some awful fruity shit.
From ALDI spanish reds are always good for cooking (bottle is fine), neutral sav blancs in a cask for seafood dishes, and sometimes regional wines are just cheaper for reasons.
My head chef uses ALDI cask wine religiously because it's cheap and he has to deglaze a lot of meat
Also for people not well versed in Asian cooking, Chinese cheft use xiouching rice wine in the same way the french do- it's only a few bucks a bottle and can't really be substituted in most Chinese dishes.
Don't try to drink xiauching wine.