View the site in Reader view (click on the “AA” in the lower left of the screen). It removes everything but the text of the site, including ads, blockers, almost all membership requests, etc.
Edit: Reader view is not available for that site, so my suggestion won’t help in this case.
Stock safari, i am fairly new to having an iphone. For the most part just stock has been working for me. Usually the admiral covers (unsure of their actual name) have a "i am not going to disable" option.
ETA i am using AdBlock, totally forgot about it. I looked in the settings and there is an experimental features to block these, and it is working.
Most adblockers have a filter for anti-adblock, I think under Annoyances. I use Aha DNS Blitz on my phone. Any reputable blocker (ublock, adguard, etc.) should have that filter.