I trust my FEL much more than I would one of those mower lifts AND my mower weighs 800# without any mud and grass debris underneath so I will continue to use the FEL to lift my mower.
I bolted on a chain loop on the front of my mower just for the FEL lift. I just hook my lift chain hook to the mower and the other end in my FEL chain hook and up it goes. I can lift it nearly vertical with ease so hosing out the mud and gunk is easy. It works just as well for changing the mower blades also.
I like to live dangerously, so no 2x4 blocking used either (Safety police jump on it if you like). After thinking about it and deciding that the possibility of the 4700# working load of the chain lifting partial weight of a 800# mower breaking is NIL and also the possibility of a hydraulic hose bursting is really low, I don't mess with 2x4 blocking (4x4 likely would work)which might not hold the load anyway should the impossible happen.
If I were really paranoid about the FEL failing, I would make some 2x2 angle blocks to use on the FEL cylinders as stops.