If it does go down to Chicago with few stops, it would make a lot of sense.   They need a faster dedicated corridor, though, with fewer stops.   250 kph isn't truly high speed. 

The French have had problems maintaining the efficiency of their high-speed networks as lots of smaller stations have been brought on.   The real value of true high speed trains (around 300kph or more) comes in when there are long stretches (more than 1 1/2 hours at a time) on the dedicated corridor.

Paris - Lyon can be done in less than 2 hours on the TGV because of the long stretch of dedicated corridor without stops.  Taking those trains when they go at high speeds is a completely different experience from taking VIA.  Taking a train going at the speed that VIA goes along the same route, it would take 5 or 6 hours at least -- perhaps longer.