Possibly. Unless the game can use more than 4 cores or the game happens to be extremely gpu dependent. The 1080 is usually for 1440p/4k, the lower the resolution the less work the gpu has to do. Pairing a powerful gpu with a lower resolution generally won't use it to its' full advantage. The only time a 1080 might be useful at 1080p is if looking to run full graphics (very high, extreme etc whatever the game calls it) and pushing for higher fps for 120-144hz monitors. In that case intel's higher clock speeds and ipc will generally be the best bet.
If it's a 60hz monitor at 1080p resolution then what you may experience won't necessarily be a bottleneck in terms of the cpu being an issue but simply too much gpu for the given refresh...