Logic Pro: 'bnc' on channel strips after bouncing

The Bnc button at the bottom of the Stereo Out channel strip is always there by default.

What you see is normal. Apparently you've now noticed and can't unsee it.

Honestly, I don't understand your issue, don't know what you are trying to achieve, and I think there is some confusion about the bounce button. It's correct, that the bounce button appears only on the stereo out channel strip, like in your picture. This "bounce" function applies to the entire project.

If you like to bounce only one track or one region, you could use either the context menu or go to File > Bounce ... . There you will find several bounce options. However, you need to place at least one region on a track in the main window.

Alternatively you have also many "export" options too.

The "bnc" label/button should never be on every track but always and only on the stereo out channel strip – or to be more accurate – on every Output channel strip when working with multiple outputs.

AFAIK, there is now way to get rid of them... and there is no reason to do so either.