Agreed, Gabby has lived/moved to 4-5 places in the 3 years we have had her and never has had many issues in adapting to the new locations. We traveled a decent amount when we first got her so it made her get used car rides and going new places.
For reference where on where she has lived and how long
Indianapolis: ~ 6 months
Georgia (Fiancee's Moms): ~1.5 months
Springfield, MO: ~4 months
Almont, MI: ~5 months
Springfield Again: ~2 months
Gaineville, GA: ~4 months
Almont Again: ~9 months
Gainesville Again: End of Almont to current time
My Fiancee and I kind of had joint custody of her so we would each take her for a while in each location but Gabby has always taken it in stride and picks up on the rules of each location fairly quickly other than my Fiancee's mom's. There seem to be no rules there for her. It doesn't help that she has 3 dogs that can pretty much do anything so they make her misbehave.
They seem to adapt well and if people are not making a big deal of it they don't seem to think it's a big deal either.