I think it fits the time shift, and his character, better than the clean shave. Especially with the new model. That's why I was so glad with the model they gave him in Youngblood, let him keep his gahdayum beard. Also he just looks hotter with it, imo.
Think about it! We've been to Europe in Wolfenstein: The New Order, and the United States of America in Wolfenstein II: The New Colossus; so the only place left that had such an impact during WWII that I could think of would be East Asia. Imperial Japan was basically the sidekick to Nazi Germany during the war (to put events lightly), and unlike TMiTHC, Japan didn't get any shared land once the war was won. So wouldn't it be cool to see Nazi-occupied Japan, or an Uberconcrete reinforced Great Wall of China? Or maybe they could make a story that when the war was won, the Nazis didn't want to share with Japan, so they were the ones to nuke Hiroshima/Nagasaki instead to ensure submission? Something along those lines, but I think that the final Wolfenstein game in the trilogy taking place in East Asia would be really cool. But I wanna hear what you think too, lmk!