There was a time when you could go to a station - at least the larger stations - and purchase a ticket for a journey over a number of different railroads - this was called an interline ticket, and this was done way back before computer access. One would think that in the age of computers, interline ticketing would be an easy thing to administer. Amtrak does interline ticketing to a slight degree, much of it with selected bus connections. One rare rail exception was over N J Transit from Philadelphia over the ex PSRL to Atlantic City. Also into Toronto on Via Rail Canada. There seems to be no will to do it in Connecticut between the various rail carriers, except Amtrak could sell Shore Line East - possibly because Amtrak operated that service, although Amtrak agents could not issue tickets on most other Amtrak-operated commuter carriers, such as when they operated MBTA Commuter Rail in the Boston area. During my decades in ticketing I heard a lot of complaints from Amtrak passengers not being able to purchase tickets for connecting Metro-North service from New Haven. I don't know how ticketing will be handled for this new CT Rail Hartford line service outside of seeing announcements for ticket vending machines being located at each station plus cash fares on the train.
I looked at the link to proposed Hartford Line fares but couldn't see any reference to any "Uniticket" offering.