It’s more complicated than that and I wouldn’t give up on tweeters. Human hearing is very complicated and while you may not be able to hear high frequencies, and your ability to focus on a single sound in a group of sounds, it’s unlikely you’ve lost that ability entirely.

Looking at amplitude of multiple sounds over short intervals, there are variations that occur more frequently than the ability of a bass driver, for example, to reproduce and the tweeter is needed. As your brain focuses on a single sound, these variations are crucial to discern one sound from another