There isn’t really much of a difference between hot and warm except that no longer keeping keys on a wallet connected to the internet reduces the chance of future exposure, but it doesn’t help if the device has already been compromised. 

 Would a Trezor connected to my laptop via USB or a Jade connected to my phone via Bluetooth be considered warm? 

 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. 

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 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. 

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 So a cool setup would be.

Hot = Lightning (Phoenix)
Warm = Checking Account/First wallet (Move funds back and forth with hot or send others. Used frequently/Daily Driver)
Cold = savings account (only used to send funds back and forth with warm. Hopefully created air-gapped. Always offline)?