Continuity mistake: In the beginning when Deadpool is in the front seat of the cab, the passenger window is rolled half way down, although it seems to change during the scene. But then, when he pulls back his mask, the window is now rolled all the way up.
Continuity mistake: When Deadpool causes Ajax to crash, the debris around him on the ground disappears between shots.
Continuity mistake: When Deadpool comes back to the duplex after cutting off his own hand, he grabs a red towel off a Chevy Citation parked outside. When he enters and flops onto the floor, the towel is yellow.
Answer: No and I think that was the joke. He was angry at that whole system so taking out everyone who worked for Francis was probably just him warming up for Francis. What possibly proves this is when he finally gets to 'Agent Smith' he actually asks "where is your boss?" He doesn't say Francis to him.