Hopefully the next time Swiss people will have a chance to vote for an electronic ID (legislative process takes time, so thinking in timeframe of 3-5y), the solution will contain some parts of a self-sovereign identity / DID [1] with the state as original issuer and trusted multiparty keyholder in case the self-sovereign is to hard for folks. It would fit quite well with their other decentralized systems.
[1] https://en.m.wikipedia.org/wiki/Decentralized_identifiers