I thought they would use SSS alongside multisig the user could distribute his wallet seed, for example, to 5 places, and the possibility of recovery from 3 places, with multisig in the background, where it could be 3-of-5, and thus a good distribution of seeds to ensure that there are no single points of failure. the current idea is currently promoting Many risks, such as knowing your seed after the first signature, because seed will be exposed, or the existence of better alternatives such as multisig, or your need to trust the third party.
You can use SSS alongside multisig if you want. It is on the roadmap to support Multisig scripts soon. I am not sure how does the user know the seed after first signature. The seed is not even exposed during the wallet creation nor during transaction signing. Although there is an option on the device to generate the seed phrase back from X1 Vault and the X1 card + PIN again if you want to view it and still back it up somewhere.
I don't trust that an NFC-enabled card will enhance the security of my coins.
It does actually. The cards are EAL 6+ certified secure elements. Hence, they have brute force protection through a time exponential function enforced through a 4-8 character alphanumeric PIN. Hence, even if a hacker gets hold of 2 of the 4 cards, they still have to find a way to hack the card individually and bypass the PIN protection to be able to compromise your assets which is extremely improbable.
I searched and did not find information about this emergency wallet transactions service, is it similar to Ledger Recovery?
Not really. There is no emergency wallet transactions service. The same seed phrase backup product also doubles up as a hardware wallet. So, you can use the cySync desktop app along with X1 Vault + 1 X1 card to make transactions incase your Coldcard/Trezor/Ledger or any other BIP39 wallet is not available. You can read more here -
https://www.cypherock.com/how-it-works