Considering how unreliable their servers and links are. And how their support responses are catastrophicly slow ... I wouldn't put anything citical on Hetzner.
You can safely move to them, I have several servers, no problems so far, every support request is answered pretty much the same day, and the prices are just ridiculously low. No provider has 100% customer satisfaction rate.
It's sad that when i'm comparing AWS to Hetzner, I'm always asking what will people say ... Hetzner isn't cloud..Cloud is "in".. Damn it.. I hate that!!!