Should I study more or play more at 1000 elo

or above?

Maybe

Playing long time controls (15|10 or even better classical times like 30|0 or 45|45) is important for really developing your process of choosing moves, blunder checking, and positional understanding. Including some puzzles or other tactics training wouldn't hurt. Past 1000 is a good time to start studying end games and openings.

I recommend you do both, but you don't have to study chess you mostly try learning skills and apply them to games you play, so you know what to do. If you want to learn new chess skills, go to ChessMood, they have all the video resources of strategies you'll need. They can also review your games and recommend what you need to improve.

Check them out: https://chessmood.com/?r=NationalChessBlasters

Good Luck!