Will passphrases entered on my device leak?

This concern arises from the new trezor suite website, as I can enter multiple passphrases and shift from one wallet to another. I just wonder if the feature implemented through storing passphrases entered on devices in the memory of the host.
I have read this document (docs/common/communication/passphrase.md). I think each wallet can bind a unique session to implement the feature that supports multiple passphrases. But I’m not sure. Can someone explain it?