Some quick math on museum resource availability - assume you wait until you have a good (probably will keep forever) artifact before unlocking levels on it. That means 8 artifacts you will ever have to upgrade to max. Realistically 6, because pots are useless. Legendary comes with everything unlocked so far, so nothing there. And maybe you upgrade a few things to level 2 or 3 in the meantime before you get a really good one to replace it. It takes 2800 supplies, 175 researches and 200 benefactors to max an object. For 8 artifacts that is 22.4k supplies, call it 26k with a few false starts. For researchers and benefactors, 1600 or less.
Supplies are available at about 250 a week in atomic - often more. With an atomic dock, two 6 hour expeditions to get 85 (51+34) each run twice a week is 170. And I get 50-100 supplies from the league boat or victory chest at least once a week, often twice. With those numbers, you will have the max you could ever possible use in about 104 weeks - two years. If you get 500 a week, it would be 1 year.
Given how this game is designed to be long term play, and that it takes two years to get from gunpowder (museum start) to cold war, they may have intentionally scaled the numbers to take that long - doable for free play, but encourages payers to spend now. And even with all that said, to get 6 artifacts to level 4 is only 12k supplies - easily doable in under a year.
The real issue here is how many ways there are to get researchers and benefactors, at numbers completely out of line with what you will ever use. Less than 1600 ever, so about 15x fewer are needed than supplies, and multiple atomic dock expeditions give those at similar numbers to the supplies. Easy to get far more than you will ever need just running expeditions for a few months. Then they are a complete waste of a reward, maybe even worse than the stupid recruits, and will clog up the dock, boat and chest rewards for no reason.
For players who are too impatient to wait on good artifacts, they will upgrade more that eventually get thrown away. So either take longer, or spend some money to get supplies. But even they will never need more of the other two resources past the first few months, and will eventually stop needing supplies.
The museum is not a well thought through addition to a long term play game. On top of the new resources that we will eventually be filled up with, I have stopped even crafting artifacts regularly, because the interface for it isn't conducive to trashing everything. Hopefully they fix that eventually, or I will just wait for another bonus blueprints event. But I am past the point where only 1 in 50-100 artifacts is worth looking at twice before trashing, and 1 in 10 of those is worth using. It might be 1 in 10,000 that is actually worth upgrading, I only have one sure keeper across three accounts so far.