If your question is about maybe the hardware wallet will get filed with plenty addresses or UTXO, the answer is no, because only thing stored on hardware wallet is your private keys or seed phrase. They are stored on the blockchain and wallets or clients scan the blockchain to see what’s on your address.

As for gap limits, which is set at 20 unused addresses, your client cannot only access a coin on an address if it is received on an address that is yet to be scanned by that client or say wallet for example the last scanned address are 21, if a coin is received on address 22 it won’t reflect yet read about it here. This build up doesn’t fill your Hardware wallet because UTXO are stored on the blockchain