It depends, what is the difference between the two? Is one calc-based and the other not or are both calc-based?
The label "General Physics" seems to differ from school to school, in some places it is a calc-based course whereas with other schools it might be an algebra-based course. Same with "Elementary", I have seen calc-based physics courses with that in the name as well.
I personally haven't heard algebra-based physics being used for pre-health majors, but it seems that since you are often required to take Calc I/II already they might as well require calc-based physics at that point. So assuming both are calc-based, I think either one should be fine, I doubt they will be diverging that much in terms of what is covered and instead might just differ in focus or something, so I doubt one would be easier than other.