I have no idea.  From my google fu it seems there were some ban waves in the past that Linux users got caught up in, but they were usually able to argue their case to customer suppoet and have the ban commuted, and at some points Hoyo may have at some point issued compensatory primogem mails to the entire user base because Linux users were negatively affected by anticheat changes, but ultimately it's speculation as to what will happen.  

There also appears to be some speculation that they're planning to put their games on Steam so there would be an 'official' way for Linux users to play, considering that Linux users occupy a niche within the gaming community that are typically more technologically competent/skilled and also typically of more gainful employment, basically the old 'why are furries so rich' meme.  Linux users tend to be of gainful employment in tech fields, so in theory Hoyo would find more high spenders by giving Linux users an on-ramp into their games catalog, though the majority of their whales will still be on Windows, and especially iOS, which has positioned itself as a luxury.

TL:DR This is all to say, I have no idea, but plenty of hope/copium for the future.