I have used flycutters for over 30 years now when an excellent finish is needed. This follows from my working with and observing professional diemakers and mouldmakers' practices. If properly set up with correct feeds and speeds superb results are possible on many materials, and an HSS single point tool is cheap as chips. Not arguing with anyone, just stating my experience with flycutters.
Regarding facing heads with multiple inserts, what I have observed over the same period is that they work great in very heavily built toolroom milling machines, but not in lighter home shop machines like my Rong Fu mill. They just shake the hell out of my mill and produce a rubbish finish. The machine is just not rigid enough for them (a flycutter in same mill works beautifully.) I recall the huge Cincinatti roughing mill in the first toolroom I worked in. One job was a long block for a progressive die that needed a 4" wide 1" deep rabbet cut on one side. Toolmaker did the cut with a 6 insert 6" diameter face mill in two Z direction passes, 1/2" deep cuts and about .015" cut per rev per insert. Blue hot chips hitting the tray sounded like machine gun fire. The cuts had an excellent finish. I felt the frame of the machine for vibration, thinking there would be a lot. It was barely detectable. That machine weighed tons and was extremely rigid, which is the name of the game for heavy material removal and cuts.
Your mileage may vary, of course. Just my $0.02 worth.