There are several competing factors:
1. Longer eye relief will mean when no looking "through" the optic, it takes less of your field of view, which allows for more natural-1x visual cues when trying to put the target in the optic's view.
2. Greater field of view makes it easier to "pan and scan" to find the target, if you are looking "through" the optic.
Note that #1 and #2 go against each other, since longer eye relief normally means less field of view.
When you say, "faster hits at distance", you are kind of throwing a wrench into it, since speed is more normally a concern for what I would term close-range and intermediate-distance (0-25, and 25-200 yards). Beyond those distances, I would rather have a conventional eye relief scope provided it has more field of view than the scout style optic.
To use some examples, the TA31 has the shortest eye relief and the bigger field of view, while the TA11 has longer eye relief and less field of view. The TA11 dominates when speed is concerned at short and intermediate range. I know these are not conventional rifle optic choices, but they illustrate those aspects.