Eeeeehhhh from my experience doesn't seem to have been all that popular. Never saw many people use it (likely because there was a fairly high upcharge) and the VR made me feel a bit nauseous.
Well first of all where in Germany are you going? Heide and Hansa are in relatively short distance if you're in the Hamburg area but if we're talking Munich for Oktoberfest then the closest ones would be Skyline, Legoland and Bayern Park.
I emailed them directly about this before I went last year. All rides are apparently open during rain but taller rides like Silver Star and Euro Tower close during thunderstorms.
Dogs will be allowed at select hotels starting today
https://disneyparks.disney.go.com/blog/2017/10/dogs-welcome-at-select-walt-disney-world-hotels-starting-oct-15/
Out of the parks I've been to:
Klugheim and Mexico, Phantasialand
Asia, Disney's Animal Kingdom
Discoveryland, Disneyland Paris
Iceland, Europa Park
Sunset Boulevard, Disney's Hollywood Studios
Eurosat is closing on November 5th for the renovation so if you want to ride it you should get there this month.
If you're willing to travel a few extra hours north Phantasialand has pretty much all rides except River Quest and Wakobato open during the winter season (Chiapas only closes if temperatures drop below zero degrees Celsius).
I'm keeping a close eye on the situation and see how it develops since I plan to go to Spain (including Madrid parks and PA) next year. I have a Netherlands trip ready as a backup in case things escalate.