Vaccuum or not, a .50 BMG will go faster and farther than a .22lr. The .22 will be down before the .50 reaches the limit.
Sort,. If they are both fired at a perfectly level trajectory they will hit the ground at the exact same moment. In fact if you were to fire the 50.bmg at a trajectory perfectly level with the horizon at the exact same moment that you simply dropped a penny from the same height; both objects would land at the exact same moment.
Now the part that you are correct about is the faster and farther part. The faster bullet will cover more distance than the .22 (or the penny) but it's duration of flight will be the same.
Imagine hitting a bumblebee on a bicycle at 10 mph. Now imagine the same only on a motorcycle at 60 mph. That bee could knock an unwary rider off the motorcycle, but not likely off a bicycle.
No.