If you want, since it'll be generated in an Air-Gap machine (offline), you can screenshot the window when the seed phrase is displayed.
It's not too fancy but it'll definitely be "true to the UI's design".
Interesting, learned something new.
So which seed generation is more widespread? BIP39 or whatever Electrum uses?
Also if using BIP39 which Derivation Path is best to use in terms of future compatability?
There aren't any known research to answer that accurately but since Electrum is just one client while BIP39 is supported by the majority, then it's BIP39.
Plus you can restore BIP39 mnemonic to Electrum by enabling an option.
For future compatibility, Bitcoin is known to preserve compatibility of its old script types so I don't think that there'll be any issue whether you use legacy or TapRoot.
That's unless there's a major bug to be discovered in the future which is unpredictable.
I you would ask me personally, I'd use Native SegWit in that paper wallet gift.
For the derivation path, use the standard "
BIP84" for that script and add a note about it on your paper wallet.
