No, because the keys never leave the device. They are just used by the client software to sign transactions, which you have to manually approve on the Trezor.
Discussion
An example of a warm wallet would be if you used something like BlueWallet to generate a seed phrase on your phone and then wrote it down. Even if you delete the wallet later there’s a chance your private key could have been exposed due to spyware, etc.
Question, can my Jade still be air gapped if I connect it to my phone via Bluetooth?
I think I want to have my Jade air gapped but I’m wondering if connecting it to my phone would prevent that.