No, since TLS doesn't have anything to do with the original content being encrypted, such that the server can't read it. safepaste should combine TLS with this client-side encryption/decryption (as the hosted version does).
> Relying on this is a very bad idea...
Considering it's FLOSS, I don't think any of those points are valid. I agree that, for it to be more trusted, it should be self-hosted. So, self-host it! Verify it's not logging! Verify the "burn after reading" does the deletion! If you care at all about security, and hosting a secure service, that's going to be essential anyway.
Boiling down the FLOSS project to its provided hosted version is quite missing the point.
> If the website can spit out out a URL that you're then able to view your unencrypted data in, that website is no more secure than pastebin.com.
Given that the encryption/decryption happens entirely on the client side, this simply does not apply. The server knows the paste id, not the secret key. That's kind of the whole point. :)
- Edited for clarification