DOT 3 is ooooold tech. DOT 4 specs have higher dry and wet boiling points. Otherwise they should both perform the same when both are fresh. The only way a DOT 4 would feel better than 3 is because the 3 in the car is old and has hygroscopically absorbed moisture. Brake fluid is NOT compressible, but water is, so old brake fluid in a car which has absorbed moisture over time will feel a slight bit spongy when compared to any new fluid. That's why all vehicle manufacurers specify a brake fluid change at 2 years.
But not all DOT 4 fluids are the same.
Valvoline off the shelf 3/4 from Autozone- dry bp is not even published on can, wet bp is just 311.
Castrol LMA- dry 509, wet 329
ATE 200 (OE Mercedes fluid)- dry 536, wet 396 (what I have on the shelf for my Denali)
Motul 600- dry 594, wet 421 (what I use in the race car)
Motul 660- dry 617, wet 399
Castrol SRF- dry 590, wet 518 the highest wet available but $70 per 33 oz bottle
ATE Superblue- same spec as ATE 200 but has been pulled off the US market because idiotic US laws say it's illegal to have a brake fluid that isn't amber in color.