The Louvre is a national museum. Access by lottery with affordable ticketing would be more democratic than access by riches over others by pricing out working class visitors.
For example see https://brusselssignal.eu/2024/12/ec-demands-end-to-portugal...
Some time ago Germans tried to tax foreign drivers on their roads, so they introduced toll, nominally for all, but also lowered the same amount another car-related tax that was paid only by Germans. EU bodies saw through the scheme just fine and now they're on hook for returning the toll money to anyone still keeping the invoice/receipt.
Of course this is against the interest of other countries, which is why they prevented that, but it wasn't unfair or discrimination.
So how do they manage it?
There is ticket booking, which is done in advance or else there is a queue. Once in, you are just following the same walk as everyone else to see the dinosaurs - what else?!? After the dinosaurs have been seen people can tire themselves out seeing some of the rest of the museum, but most don't see a lot else and head for the gift shop before going home.
At the Louvre they have the slight problem that the hordes are there to see that one painting, the one that isn't exactly massive. Everyone knows exactly what it looks like before taking the pilgrimage. Really they should just get rid of it and put it in on a regional tour indefinitely, so as to share the tourist money elsewhere.
Admission is free for the following visitors:
Under 18s
Proof of ID required.
Under 26 year-old residents of the European Economic Area (EU, Norway, Iceland, and Liechtenstein)
Proof of ID and residency required.
All visitors
On the first Friday of the month after 6 p.m. (except in July and August)
This is true for every national muséum in France and it is awesome !
Do both. Lottery tickets the day of. Advance-rate tickets at a premium price. Mix and match with a non-EU premium for both.