Is transfering ERC-20 USDC only ever going to get more and more expensive?

Technical question for those who know how the EVM and how the smart contract governing USDC works…

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The smart contrat that governs USDC tx on the Ethereum chain has the ability to blacklist addresses. Does that mean that everytime a new address is blacklisted, USDC tx are getting a bit more expensive (due to a bit more gas being used)?

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There are only a few address blacklisted atm, but what shall happen if, say, 1000 addresses are blacklisted? What if 10 000 are blacklisted?

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Also: does the smart contract that moves USDC use a dichotomic search to check if an address is blacklisted, making the gas usage log(n) or is it a very dumb (but easier to code) for loop over all the addresses, making the complexity O(n)?