The fact that Gilroy remains a creampuff, presumably, overrides what puck distribution he could offer with larger 4th line guys. He won't make 3rd line, and 4th line needs to shut down opposition first line. So definite no ... at this time.
However, having an open mind, Gilroy has one thing you can't teach, which is speed. IF IF IF IF IF IF IF IF IF IF IF IF IF you wanted to make a project out of targeted muscle add and shoot a lead puck for a stronger shot as a cheap investment, if you could minimize his negatives to a point they were tolerable and enjoy the advantage he offers with skating speed, I would be open to revisit this question in a year, more likely two.
Not before.
His immediate value is as a puck rushing D who can block shots, but he still needs to add strength to take the body.