Eff Oh,
I have never heard of any FOD damage in the simulator.
We used to back the 737-200 on occasion (approved in FM) as well as the C-130 (because the Brits are so stingy with asphalt at Mildenhall

--Parking head-in with a nifty front wheel parking well (depression). The winter of '87 was so cold one of the planes froze its brakes solid. I was trying to back out the aircraft and the plane wouldn't move. At full reverse, the nosewheel was hovering off the ground. After 30 minutes with a heater cart on them, we backed out no problemo.)
FOD is the main reason wing mounted engines do not back routinely. Sliding sleeve reverse systems are not very effective at low speed anyway. The JT-8 was super because ALL the engine thrust was diverted slightly forward.
PT