For some reason these archive.something websites through me into an endless captcha loop on all of my devices. Doesn't happen with any other website.

Those people pay for our web.

I think it's okay to complain about the design and presentation of the ads even on a free service. It's unreasonable to expect sites not to have some form of monetization of users that are not going to pay for the content, but that monetization should be reasonable and thoughtful. Of course, we can simply avoid that site altogether.

It is always fair game to complain about shit web design on sites you others are expected to use or read. The ads presented are part of that.