It matters a bunch actually. Same 31-32" diameter street tires with all else the same except 4.10 vs 4.56 the 4.10 will pull through gears longer. It'll also help tire spin in lower gears. I also believe with all else the same the 4.10 should trap higher speeds.
I have a slight disagreement. Tire slippage does change the equations, but back in the old days it was actually a little easier to maintain traction with lower gears.....I know this sounds odd but hear me out. Once you break traction with a higher gear (say 4.10 vs 4.56) there will be a faster spinning tire with the higher gear (4.10) thus making it more difficult to gain traction. But more back to your point (the 4.10 pulling longer in each gear) why not just start in 4th and you can really pull a long time before shifting (I know thats a little extreme, but I'm making a point). Now I think we all agree that our trucks accelerate faster in 1st gear than they do in say 3rd gear....right? That's because 1st gear is lower and multiplies the torque better and has the effect of a lighter car vs heavier car. So with this reasoning, given the same transmission ratios, equal weight , equal horsepower vehicles WILL accelerate faster with 4.56 gears versus 4.10 gears...in every gear. I have been doing this (1/4 mile acceleration) for almost 50 years and it works for me. My job is to figure out how to get the power to the ground, that makes it fun and requires a little skill.