Yes, because though it will keep most ground predators out it won't protect against aerial predators at all, and it restricts the chickens' escape in the event.

Besides Queenie who was grievously, seriously attacked against the fence (and she got away and tried for the coop but died from injuries on her way there or got jumped again), likely the same hawk came after Butters some days later while I was standing in the doorway supposedly watching, but I had just looked at my phone! I saw the motion peripherally - saw this thing descend on her, and saw her see it at the last second and squirm away out of it's feet. As I ran the hawk jump flew over to her, and she kept going another couple feet and went up against the fence. The hawk saw me and jump flew up to a chair back and paused, considering what an easy catch she would be I think, but then I was ten feet away and it flew off before I could smack it.
@Ponypoor @RoyalChick