It seems to be the other way around, since mass is still a thing, and at least according to Geordi in relics, a small old ship like the Jenolan can still run circles around the Enterprise, probably because of its comparatively smaller size and lighter weight. There’s less power that has to be shifted around the warp engine to shove the ship around.
Just in the spirit of shows underselling ship capabilities, I could see a federation flagship having a potentially better agility to mass ratio than a basic shuttle any civilian could pilot for leisure.
That thing is a beauty, my favourite Enterprise.