It doesn't matter how much money you throw at things, the number of doctors isn't going to change drastically. You can pay them 10x and the number won't change. We only have so many medical schools, and so many people willing to throw themselves on the sword to get through them.
Nurses are a little more flexible in that more money might mean more nurses, but only up to a point.
In either case, throwing a ton more people into a long term career to deal with a short term problem (I don't see hospitals needing the same capacity in 3 years that they do for the next wave) will cause other problems down the road.