OK, so it's odd that iOS 13.1 beta is out before iOS 13 ships but can understand why that might happened. However, my iOS 13 beta 8 device is showing it as an upgrade. I would assume if I upgraded, I wouldn't then be able to get future iOS 13 beta and GM. That is weird. It's also not clear if I'll get them anyway (at least via software update) since iOS 13.1 is a higher version than the next iOS 13 beta. No idea what will happen.
What is more confusing is that I downloaded Xcode beta 7. It has a date of 8/22 which seems rather old. When you run it, it says it's beta 6 (11M392r). On the developer page, beta 7 lists itself as beta 7 (11M392r).
I assume this is all just a mixup but not sure what is real and what isn't at this point.