I searched 2009-2017 OF'ers with 250+ PAs (about half of the PAs needed to qualify. There were these many players having seasons with these OPS or lower:
40 below .600
100 below .640
140 below .640
.200 below .675
How about 350+ PAs?
25 below .620
60 below .655
104 below .675
I'd say yes, teams have given many OF'ers longer chances than JBJ, and my guess is many aren't GG caliber. Then again, JBJ has had several long bad stretches over his career.