It's been known to happen. Don't know if every young pitcher is shut down. If the Cubs are planning to shut him down eventually, perhaps its a good idea to stretch him out a day like today when he's thrown 6 shutout innings.
I'm fine with Suarez going to any team we've already played this year. Would not be looking forward to playing 8 games against Suarez for the Brewers over the next 3 weeks