On another forum that I visit, the question of who can better manage public land has been discussed extensively. The answer seems to boil down to the definition of "better". The states typically use a for profit management model. On the other hand the feds tend to use a conservation management model where profit is not the primary goal.
The conservation management model bugs the heck out of people who are focused on profit. On the other hand, the conservation management model is good for recreationists. Recreationists can't compete with mineral extraction, timber harvest, etc. in a for profit management model.
Some politicians want our public lands to be managed for profit, so they want them turned them over to the states who will certainly do that. I think that would be a terrible mistake. Numerous public opinion polls agree with me. Take a look at this poll from Colorado College:
https://www.coloradocollege.edu/other/stateoftherockies/conservationinthewest/