I guess a proficient piano player wouldn't say "I'm learning piano", even though they're still trying to improve. In the case of chess, you can learn the game

I guess a proficient piano player wouldn't say "I'm learning piano", even though they're still trying to improve. In the case of chess, you can learn the game very quickly. So I'm wondering at what stage a chess player consider they can play, and that they're now trying to improve rather than just learn.