Yes, mainly because we're talking about fractions of cents. Also, it's not for free; the website and its users get a good anti-abuse measure in return.
There's a big difference between something that cannot make money and something that makes pennies for the site. But, to be fair, 99.9% of users aren't going to notice the difference in captcha branding either way unlike my example of a banner ad on a retail site.
My main reaction is that the UX incentive to minimize user exposure to captchas seems to work against the primary pull of using hcaptcha in the first place.
Though one site I can think of that has a captcha behind every action (every post) is 4chan. Maybe you can get them on hcaptcha one day. It would at least help you test your tagging system against vandalism. :)