This has been a source of tremendous frustration for me. I was really happy to discover c. 2009 that you could get browser extensions that let you do anything on a website (like clicking links) from the keyboard. But increasingly, they're failing at making items detectable as clickable. Which is like, why? How do you go through the effort to make a framework to automate the process of putting in UI elements ... and somehow fail to comply with basic standards that would allow interoperability.

I suspect that a lot of the resistance to disability compliance in websites[1] is due to how it would let you bypass ads. If a screen reader can cut through the cruft to get to what you need, then everyone can use software that does it.

[1] like in the Domino's case https://news.ycombinator.com/item?id=21188092