That seems like even more reason to use an overlay - it abstracts all that instability away and gives you a consistent, secure network regardless of what the underlying IPs are doing. Obviously peers can have static IPs too if you think that makes them more stable to routing changes (it doesn't).
You said "Dynamic IP addresses typically also have a forced disconnect at a regular interval.", which is false in pretty much every DHCP scenario I have ever seen.
A change in an IP lease should result in no downtime whatsoever, because addressing is not the same as routing. A routing change would have exactly the same effect on a static IP.
I then pointed out that an overlay network means you don't have to worry about that anyway.
I think you need to reread whatever comments you think you are responding to, as there is clearly something out of sync with your replies.
