Briefly, it should be possible to "disable" this feature by instead encrypting a random match key, which would look the same as having it enabled but merely not be useful for measurement. Obviously, one would need to work through the details of how to make this work in a complete protocol, so this is a little handwavy, but it's definitely a consideration.
Also DNT is not useless modulo new human rights legislation like the GDPR. I would hope that data protection regulators settle on seeing DNT as an explicit sign of non-consent, and punish websites who try to fraudulently obtain consent with annoying popups etc.
Unless using an ad blocker your browser is not doing anything to actively prevent it, and there is no meaningful difference between chrome / Firefox / edge there.
Ungoogled Chromium is my daily driver.
I might just manually copy the profile directory to my laptop when I leave, and copy the newer one back to my desktop when I get home. Mutex! TBH I can really only be using one browser at a given time so "sync" seems like overkill as long as I've only two hands and two eyeballs.
That said, sandboxes aren't all or nothing, and my impression is that the chromium sandbox is still tighter than Firefox's. (I work for Mozilla, but not on sandboxing, and I'm not in touch with the current state.) That is improving over time, and Firefox already has some types of sandboxing that are ahead of Chrome's.
The main threat model here is malware, probably malware being served to you through an ad network. Run an ad blocker.
Personally, I defend the principle of an ad-funded Web. But not the current practice. As long as ads are in practice an exploit vector, screw 'em.