Kind of mower also determines how the grass reacts to the height of cut. The pro baseball fields are mowed at less than 2" with a reel mower. It has been my observation that a rotary mower is not a good idea at low heights of cut. Might have something to do with how a rotary pulls things up and it does not cut things, it tears then.
They who can give up essential liberty to obtain a little temporary safety, deserve neither liberty nor safety.
Benjamin Franklin 1775
Sell not virtue to purchase wealth, nor Liberty to purchase power.
Benjamin Franklin Poor Richard's Almanac1738