I can't imagine what it's like to access modern websites unfiltered.
I left my iPad deliberately unfiltered to discourage browsing - it's a bedroom device - and it's ridiculously effective. I see a cookie banner with the "legitimate interest" nonsense and I give up.
Even for propaganda, I am constantly made aware of my propaganda immunity being subpar for all different kinds of propaganda. Often it's just subtle seeds of propaganda that impact the choice of words that I use to be something different than what I really believe in, and sometimes it is more serious and deeper cases of propagandisation. Very unfortunate, but each time it shows me why I should be critical of everything that I read online.
I’ve also trained myself to recognize and not consume ads anywhere they are not blocked.
I feel the same though. My only complaint when Adblockers fail is that I have to scroll so much to read some articles on some sites. Sure, there may be some level of subconscious registration occurring in my brain for maybe the company logo, but it’s usually minimal.
I do sometimes find I'm accidentally clicking on the ads at the top of search engine results, though for this case it's extra ironic as the ad is for the real thing I'm searching for which is 2 results further down the list, and I only realise I clicked on an ad when the link goes via an ad-tracking domain that I block.
I've recently been fooled by an ad in reddit that was pretending to be news, which took me to a fake BBC website. First hint, I also block the BBC domain (nothing wrong with them, it's just a habit I want to get out of given I don't live in the UK any more).