Yes, but you need to already have Mobile-ID for that. To get a Mobile-ID you need ID-Card with valid certs.

So if a person doesn't already have Mobile-ID and their ID-Card certs are blocked they can't get a Mobile-ID and thus they can't access any digital government services.

It's not like this is purely theoretical - large number of Estonian Id-Card will have their certs blocked and not everyone has Mobile-ID.