I would imagine so but, as mentioned above, American bands wouldn’t usually be bringing gear with them.
Smaller bands tend to borrow gear and bigger bands will either hire or have gear already stored in the EU. A lot of bands will often get merch produced there too to save bringing it with them.
The difference with UK bands is that we could drive and take all of our gear and merch with us, which would now cause these issues.
American bands do need visas, however.