I have a PTO powered belt driven 7’ drag type Bush Hog finish mower for my 35 hp Mahindra that will cut a Bermuda lawn like the best mower on the market. Converted the manual height crank to hydraulic so it can be lifted as necessary. It’s really old but parts are still available. Need to replace a mandrel that seized.What these guys said. Brush hogs are for knocking down brush and tall, heavy grasses; for a lawn, you want a finish mower (and you definitely do not want to use one of those to do a brush hog's job). Beating it into submission is pretty much what they do.
About the only brush hog I've ever used that had a decent cut is a 7' drag-behind Bush Hog, but my dad kept it sharp and only used it on grass hay.