No he wouldn't.
He isn't Strasburg, Zimmermann, or Scherzer but Gio Gonzalez has produced 15+ WAR for the NATs from 2012-2015. That's eighth best in the National League over that time period. Want to knock out his 2012 campaign? From 2013-2015 he was twelfth in the NL.
Gio Gonalez has been consistently frustrating over the years but ultimately productive. The problem is this year I'm less confident than in the past that he'll turn it around.
Those numbers are a part of what's keeping him here. But Gio starts result in 6.0 IP or less in 2/3 of his starts - his NL average (translation - with Washington) is less than 6.0 IP per start. That is not just frustrating, it's a killer on a bullpen over the course of 35 starts.
And his numbers get worse with each passing year.
If he was right-handed he'd be in the bullpen at best.