Use the Teddit frontend (https://teddit.net/) and the Redirector extension (https://einaregilsson.com/redirector/) to redirect all Reddit links to Teddit and view the content there. You won't be bothered by pushes for login again.
This in no way absolves their god awful mobile experience but if you're logged into Reddit with the new UI turned off or use the Old Reddit Redirect add-on it's basically as if nothing on Reddit changed since 2011.
Their mobile website works fine for me, or at least the annoyances are a blessing because I spend less time on it. The one thing I do notice is if you follow a link out of reddit then go back, it shows an error instead of the thread and you have to reload, which loses your place.
That, and don't get me started on their search. Love getting 0 results on initial submit, then reloading the page with the results magically appearing...
Also love being redirected in order to continue reading certain threads
Yeah. I had decent karma or whatever on a ten year old account and got banned for not having an email address. Shrug. Pretty much killed my reddit habit.