Standard wallets (MetaMask, Rabby, an exchange's wallet) work on Seal's public lane: hold, send and trade open assets, and pay gas in SEAL. Everything a standard wallet does on Seal is public, as on any chain. For private balances, agents and private assets, use a Seal account: a passkey, no seed phrase, no gas to pay.
Sign once to say you understand that this wallet is public on Seal. Seal then lets it send transactions and gives it a little SEAL for its first gas.