I noticed an address that trades tokens but does not have them as usual in the tokens tab and generally does not show that it has them
Can you share the address? (If you don't mind about your privacy, of course)
Note that even if a bug causing your tokens to not show in a block explorer like etherscan, there is nothing to worry about.
What matters is that if the tokens are shown in your wallet or in the decentralized exchange you connect your wallet to. You may need to add the token details manually.