Most of them already does. New users (both to mixing and bitcoin) use .com and we want to protect them from it.
What about putting the fully functioning clearnet site behind Cloudflare, but simply displaying large warnings all over it that it is using Cloudflare and recommendations to use the Tor site along with explanations why, rather than just having a landing page with no mixing functions on the clearnet site? That way people who might just want to test it out, or are using some public computer without Tor, or for whom Tor is difficult to run due to ISP or government restrictions,* or just want to break the blockchain link and aren't worried about Cloudflare, etc., can still mix their coins while still being aware of the reduced privacy and increased risks they are taking?
*Yes, I know about Tor bridges, but not everyone does or knows how to set them up.
I've also tested the new v3 site and I've tried my hardest to break something, but to no avail. It all worked very smoothly, bar the brief moment when I though I'd been given an empty private key because I imported it as legacy (force of habit!) instead of segwit. Also very nice that you can split deposits up in to multiple different vouchers.