Hey, zapping someone is a bit different process than sending - it doesn't have to use the same wallet.
Most clients open default wallet - on desktop it would be most often Alby Extension, and on mobile... you'd need to connect your Alby to Zeus or Blue Wallet.
But today, most wallets also use NWC connection, with which you can plug in your Alby Account and it doesn't even need to open the wallet.
What client are you using?