It would be really cool if you could add SSL encryption by default once some service like Lets Encrypt [1] which issues SSL certificates if you can prove your domain name launches. Not sure how this jives with their terms of use though.
The ClaimYourName site reminds me of Strikingly (a YC-funded company), which unfortunately still doesn't support SSL for domains purchased elsewhere: https://twitter.com/declanm/status/590313911271821312