address doesn't even come in when you are signing a message with a private key and there is no difference between private keys! it is just a number.
the only difference is in the first byte of the 65 byte result. Electrum and all other old/unchanged tools are expecting the first byte to be 27 + [1-4] + [0 or 4] so basically a number between 28 and 32 but Trezor is adding an extra amount to indicate SegWit addresses, i haven't looked at the code to know what the amount is exactly but i believe it is [1 or 2] added based on being P2WPKH or P2WSH respectively.