4.56 vs 5.13s

Used 4.30, 4.56, and 5.13 no difference in ET. The 5.13 made the 60 ft erratic. I race 1/8 mile(Duster 340 7.5 ET 90 MPH 1.6 60ft) and I have seen numerous guys swap in deep gears thinking that they will shave off some time, never works.
I raced a hemi superstocker back in the day, for 14 yrs. It ran faster w/ a 5;38 than a 5: 13. It was tubbed and had 14 to 16" slicks on it all the time . Depends on the combination.