I think this is definitely true. There are many countries in the world that are looking for an excuse to turn public opinion against Uber, and having the US Army as a partner is definitely a good way to do that.
And then they can also scrap all of the planes, space programs, tor networks, telephones and just about every other modern technology that the US Military has in someway funded
The way this tends to work is not rational, it's reactionary and often punitive. It doesn't matter if product X also was partially funded by US Army, if regulators don't like Uber, this is yet another thing to create that argument with.