Not just for HTTPS
Let's Encrypt is super handy, specially when paired with the acme.sh script which can automatically renew a cert using your DNS providers API. In addition, it doesn't require python to be installed on systems where it otherwise would not need to be.
Also, Let's Encrypt is not just for HTTPS, you can use the certs for basically anything - I use them for a mail server, an EPOS system (encrypted stunnel from EPOS to Database server for product sync/update) and of course, websites.
At the end of the day they are just regular certs.
As for wildcards, great idea. But I'm not sure if I will be using them as most of our subdomains are split across multiple machines.