It could also be down to the frames, if you're trying it on two different bike, then it's likely that the frame is why one of them feel better to shift.
Some frame geometry make the newer Shimano derailleur to shift almost like a.snap than smoothly.
Basically I've used three groupsets tiagra 4600, 105 5700 and 5800 on three different steel frames.
Front shifting is the best on 5800,then 4600 lastly on 5700.
If 4700 front mech works with 4600 shifters would using it improve the shift?
It could also be down to the frames, if you're trying it on two different bike, then it's likely that the frame is why one of them feel better to shift.
Some frame geometry make the newer Shimano derailleur to shift almost like a.snap than smoothly.