The problem comes if your keys ever get compromised or cracked all your historical traffic becomes vulnerable instead of just the most recent window.
All it being new means is that depending on your risk ratio you need to decide whether updates to the software need testing or whether you need to invest in your own solution - or, how about just wait until it matures and keep the old process until then.
Waiting doesn't invalidate the premise either. It just means you lack the resources to implement it safely and that's ok.
Register a domain, get a certificate lasting forever, let the domain expire and somebody buy it. Then somehow redirect all or part of the traffic to that domain to your own server with a valid certificate. Chances are that few people will notice something has changed in the details of the certificate.
However you'll have left traces all over the place: credit cards, phone numbers, etc.