Does speaking your second language ever stop feeling like performance?

Question mainly for people who reached a very high level of fluency in a second language, especially if you create content online or use that language professionally.

For context, my English learning was mostly informal. I took classes for about a year and then became almost entirely self-taught. Nowadays I consume mostly English content online, understand it very comfortably, write reasonably well, and the few times I've had to use English in real life communication was never really a problem.

That said, I still have an accent, sometimes feel my vocabulary lacks depth, and I don't feel fully "at home" in the language yet.

My question isn't whether learning English is worth it. What I'm wondering is whether it's worth pushing all the way toward near-native fluency: actively working on pronunciation, accent, and maybe even creating content for an international audience.

The main thing holding me back isn't the effort involved, but a strange feeling that publicly existing in another language would somehow feel less authentic, almost like performing a version of myself rather than simply being myself.

Did anyone else experience this? Does that feeling eventually disappear? Looking back, was pursuing that final stretch of fluency worth it?

My target language (TL) is English and I'm Brazilian, so I'd be especially interested in hearing from people who learned English as adults or from outside the Anglosphere.