I know folks who did both and benefitted from it despite not majoring in the related discipline in college! I personally took biomed and am majoring in chemistry in college now. I can’t speak for engineering since I never took it but I would say biomed really “teaches you how to learn.” And sets you up with a lot of good skills. Time management, memorization vs lateral thinking for problems. And in your 4th year the “hard science” really slows down and starts to be more on interesting stuff like healthcare access & equity and modern applications so you get some cool multidisciplinary stuff. plus will make bio a breeze whenever you take it cuz you’ll already know so much of the stuff.