The purpose here is surely to detect sophisticated spoofing by non-user-browser software, like crawlers and robots. Robots are in fact required by the net's Geneva Convention equivalent to identify themselves and respect limitations, but obviously many don't.
I have a hard time understanding robot detection as an issue of "user freedom" or "browser competition".
In the name of robot detection, you can lock down device, require device attestation, prevent users from running non-standard devices/OS/software, prevent them from accessing websites (CloudFlare dislikes non-chrome browser and hates non-standard browsers, ReCaptcha blocks you out if you're not on Chrome-like/Safari/Firefox). Web Environment Integrity[1] is also a good example of where robot detection ends up affecting the end user.
The big one is that running a browser other than Chrome (or Safari) could come to mean endless captchas, degrading the experience. "Chrome doesn't have as many captchas" is a pretty good hook.
I don't know what you mean by "the market".
What I do know is that if I try to go to a site with my favourite browser and a site blocks me because it's so poorly engineered it thinks I am a bot just because I'm not using Chrome, then it's pretty obvious that it's not detecting bots.
Also worth noting: it might surprise you that there browser automation frameworks. Some of them, such as Selenium, support Chrome.
You can add an exception in Firefox's settings to allow third-party cookies for CAPTCHAs. Google's reCAPTCHA cookie is set by "recaptcha.net", and CloudFlare's CAPTCHA has exactly the same problem, whose domain is "challenges.cloudflare.com".
If the cookies aren't set and passed back, then they can't know that you've solved it, so you get another one.
Maybe my experience is atypical but it seems to me this is a reCAPTCHA problem, not a Mozilla one. It’s Google’s problem. I imagine they can solve this but simply don’t want to.
Maybe I’m wrong but again, i encounter more issues with their “anti bot” methods than any other by a massive margin.
It's already a pretty degraded experience.
It's quite hard to figure out what this is for, because the mechanism is so incredibly weak. Either it was implemented by some total idiots who did not bother talking at all to the thousands of people with counter-abuse experience that work at Google, or it is meant for some incredibly specific case where they think the copyright string actually provides a deterrent.
(If I had to guess, it's about protecting server APIs only meant for use by the Chrome browser, not about protecting any kind of interactive services used directly by end-users.)
In this case, you would need to reproduce a message that explicitly states that it's Google's copyright, and that you don't have the right to copy it ("All rights reserved."). Doing that might then give Google the legal evidence it needs to sue you.
In other words, a legal deterrence rather than a technical one.