Yeah, it’s annoying, but I honestly don’t use any email clients anyway. So whether I use the Tuta or Proton app/website is essentially the same for me.
But you can export your email (select all then click “Download”), but unfortunately forwarding isn’t a thing. That does put a bit of a wrinkle into my longer-term use of it, so if Proton can become price-competitive for my use-case (and no, I’m not paying $10/month for email), I’ll probably switch. But since I can export them in some way, it’s not a deal breaker.