It's been 2-3 years I noticed this disconnection problem on a windows7 remote host. But I could not say it was related to paid account new feature.
I though it was a bug due to the box-router the host, I was acessing remotely, was connected to.
All I had to do was to reboot the remote machine or stop-restart hamachi service. And it fixed up.
A few month ago, when installing a new machine under win10, with hamachi, testing hamachi and vnc, I experienced an RPV tunnel error, due to an old hamachi version that disappear with 2.2.0.619.
Now I have the exact same symptoms you just described, with random disconnect and reconnect.
My best bet is the paid version causing disconnection. I just have to reconnect manually.
Maybe I'm wrong?
I hope it is a failing ping causing the issue or the network signal going down or starting late when windows logon.
Best regards.