You still have to find filter lists that work though. I use uBlock origin and frequently run into problems where cookie popups are half-blocked - the dialog is no longer visible, but I still cannot interact with or scroll the website. To work around that, I have to deactivate uBlock's cosmetic filters so that I can see the dialog again, then deny cookies. Pretty annoying, I haven't found a setup that fixes that.
Most of the time I have JavaScript disabled as well (only for specific sites and in Private Browsing windows do I have it enabled), which will slightly confound this anecdote, but I believe it was mid-2020 when I last encountered a site that uBlock Origin plus cookie-banner-blocking lists broke the page in the way you describe, and only ever a very few times before that.
Extension named something like Behind The Overlay fixes similar cases for me, it gets rid of anything overlaying the page blocking inputs. Exceptionally effective