Well, Picard is set in the late 2390s, and they're not wearing those uniforms there, despite the fact that AGT has them being worn in 2395. I guess it's possible they might move onto them some point down the line, Endgame shows them being worn in 2403 while The Visitor has them being worn in 2422, but at the moment, they have not been worn in the Prime Universe.
If you mean the uniforms Captain Robau and the crew of the USS Kelvin wore, the article even notes that since the opening of Trek XI is supposed to be the branching off point between the Prime and Kelvin timelines, that means those uniforms were worn in both timelines and can be considered a Prime Universe uniform.