I've found a slight edge makes the cutter do better on patches of grass. It always cuts brush well. I stand the cutter up, brace it and touch it up every spring with a grinder. I took the blades off once in 12 years just to check balance.
Biggest problem I've observed some folks having with the cut is not keeping the PTO rpm at the proper level. A slower blade cuts poorly, if at all.
RPM is a factor in the cut.
The gearboxes are basically only transferring horizontal rotation to vertical in either a single spindle ( bush hog type) rotary cutter or a multi spindle finish cutter. If we are running 540 RPM PTO speed on a bush hog type the blade spindle is running at 540 RPM and the one 6 foot blade has a tip speed of about 10,000 fpm. On my Woods finish mower, as an example, and I imagine most finish mowers, the belt pulley under the gear box is considerably bigger than the 3 spindle pulleys for the blades. At 540 PTO on my finish mower the blade spindle speed is 1,939 RPM according to the book or basically 4X the PTO speed. The blade speed is 16,360 fpm for each cutting width of 30" x3 spindles. Therefore, if we use 2 spindle blade widths which equals about the cutting width of the 6 foot bush hog, since you must allow for overlap after
the first pass, I could argue that the same width of grass cut by the single blade bush hog at 10k fpm is being cut at the rate of 32.6k fpm by the finish mower at the same forward ground speed for both mowers.
So yes, sharpening of bush hog type blades ( sharp like a mower, as some indicate) could improve the cut of pasture grass versus slapping it off with normal profile blades but at the expense of blade life, particularly if used for brush cutting after making a mower sharp profile, but you still don't have the RPM.
I look at it like, when your little yard trim push mower blades get dull and shred the grass if you run the engine at idle, turning it brown, versus a clean cut with sharp blades with the throttle set to proper running speed.
So, if you buy all that, would you like to buy the Brooklyn Bridge at a fantastic price but only if you call in the next 10 minutes?