I “got my degree” in Animal Science, and my school offered a pre-veterinary medicine and research track. They also offered companion animal, equine, lab animal, and production animal tracks. The quotes are because I was one class (well, one exam) short of my degree but due to extenuating circumstances I didn’t finish the class. I was all set up to, but then I got into school and they didn’t care so I didn’t finish the class. It’s my last year to be lazy, whatever. /s
This next part will be partially geared towards you OP, but more towards students who have the option to major in animal science.
Anyway, I do agree that what you major in doesn’t matter as far as getting into school goes. BUT, I’ll say that majoring in animal science with such a specific track was beyond helpful to me. My school proves this is helpful by having a very high acceptance rate to vet school by students in this program. I was able to get lots of hands-on animal experience through my school, take comparative mammalian anatomy, do a full horse dissection with an equine surgeon, find job opportunities in VetMed, participate in livestock judging, take many animal-specific versions of classes (genetics, nutrition, reproduction, behavior, anatomy, physiology, etc.), and take a class focused on careers in animal science. While you can experience some of the things I got to do while in any major, some things were exclusive, and many others were easily facilitated by being in the program. It also made it easy to figure out if this is what I wanted to do. I was also able to use my job at a vet clinic as internship experience for credit.
At the end of the day, do what makes you happy. Majoring in art history or musical performance or anthropology or philosophy won’t make it more difficult to get into vet school per se. But majoring in animal science (if you can) will help to get you many of the experiences you’ll need to quickly learn if you’re in the right field, give you unique opportunities, facilitate experiences you may not have found otherwise, and prepare you well for applying to vet school. As far as majoring in a health sciences sort of major goes, I don’t know if that will be specifically helpful or not. That’s for people who majored in a science major that wasn’t animal science to answer. But hopefully what I said makes some sense.