The point of pricing isn't to completely eliminate tourism, it's to lower it.
The goal is to find a price point that cuts down, but doesn't eliminate tourism.
And while it would attract a higher wealth tourist, you can easily adjust the system to a lottery type where you have a certain percent of people who just buy access and others who won a lottery.
They do this out west for river access during the summer. They don't want a whole bunch of people river rafting and destroying the river, so they have a lottery that you have to buy a ticket for. You lose the money if you don't win a license. This creates revenue without increasing the number of tourists. And it also creates a system where people who really want to go there, will buy a ticket without a guarantee of a spot. And,when they do go, they tend to be much better quality tourists since.
I know people who have been buying tickets for almost a decade and haven't gotten a spot.
Something like this is very effective at keeping up revenue and decreasing the number of tourists.