I've killed one Brown Bear with my .338 and when I hunted them again 2 years ago, I had the .338 as well as my .375. However, my guide and good friend killed his first Brown Bear about 25 years ago with a 7mm Rem. Mag. with 175gr NPT, in a Ruger #1. I also had a different bear guide that also had a 7mm Rem. Mag. in a Ruger M77. He'd killed quite few Brownies as well. Bottom line, it doesn't matter what we consider the right cartridge, the 7mm will get the job done if put in the right spot. If he is comfortable with the 7mm, I'd tell him to go for it.