That makes it a little scary about moving this onto a new server, although they will not delete what is on the old server until they know that the stuff on the new server is working ok.
I would prefer they would do an upgrade of MySql instead, however, they don't seem to want to do that.
I may do a backup and see how it works on version 7.
I may also test out Version 7, Beta 5 to see how it works there, as that will help me in reaching a decision on what to try and do.