Or is the false sense of true security a bigger detriment?
That's a really tough call.
Cloudflare makes no security guarantees. They don't even commit to keeping your public key secure when you give it to them. That's a bad sign. One wonders how they fund their free MITM service.
This is important; there are cases of "just plain insecure" but other than that, it's very nuanced.
How about you randomly generate and write all your passwords down on a piece of paper in your wallet? For many threat models, that's far more secure than even using a password manager. For other threat models it's far less secure than using a password manager. Other than things that are just flat-out broken "more-secure" and "less-secure" don't exist without qualification.