Yes, each wallet will need its own seed phrase. Electrum seed phrases have a built in versioning system, which means each seed phrase will only generate one type of wallet.
This is a unique feature. It therefore means that one may not have needs for other wallets for multi purposes. Electrum can serve well as one wallet with multiple wallets where each of the wallets are independently unique.
Meanwhile, in the updated electrum wallet, I saw Lightening network and when I generated address there was column for Lightening, address and Url. While the address and url were active, the former was inactive. When, I'm OK with this, I'll move to here, seems electrum can open LN channels now.
However, Electrum will no longer generate legacy (standard) wallets by default, only segwit ones. If you desperately want a legacy wallet then it can be done via console commands, but I'd recommend just sticking to segwit.
I do not have any need for legacy wallets for now, I'm sticking with segwit
Secondly, be aware that 2FA wallets have nothing to do with the multi-sig set up you were discussing earlier. 2FA wallets use a third party to cosign your transactions, and they charge a fee to do so. If you really want one you can of course generate one, but for your multi-sig set up between computer and phone you shouldn't be using them.
Thanks, I don't intend using the 2FA wallets. I just included it above to clarify my question and you rightly understood my question. Thanks for the help and follow up. You are a guardian arc angel.