You can't be holier than the Church.
Diane at Te Deum discovered that the Intercessor's website is back up and running, with the announcement that a statement from their Foundress is forthcoming. And of course they are asking for donations - as Paul told Tomothy, "there's great gain in religion..." The website is Intercessors of the Lamb Inc.. Diane wonders if it presages a schism. I'm not sure a fringe organization can create their own formal schism, can they?
At this point - if it turns out they are pushing the restart button - I think they would simply become another renegade group acting in defiance of the Archbishop. Their disobedience could well earn them an excommunication - but I doubt they will claim to be the true Catholic Church and thereby end up in formal schism. I don't know canon law of course - but I suspect all of this is much more complicated than we know. For one thing, the consecrated religious have been laicized - so they would be organizing or incorporating as lay persons - not even using the name 'Catholic'. It will be interesting to see what develops.
Thanks again to Diane for keeping us informed on this matter.