Binding sets up a direct connection between the two devices that by-passes the rest of the network. I have a couple of battery-powered remotes bound to particular lights and they continue working even if HA is switched off. It’s only really useful where the end device controls the router it’s bound to - it’s not going to make a channel change any easier, if that’s what you’re thinking.
As @NathanCu says, end devices are supposed to change channels transparently, and I’ve found that nearly all do - usually just a couple of contact sensors need to join again.
It doen’t happen immediately, though, allow an hour or so before you panic. 