BV
Just to keep the nomenclature straight, we are talking about flight data monitoring, not FDR monitoring. FDM is usually extracted from the FDR, but it can also be picked off from elsewhere in the system that feeds the FDR, especially when it's digital data. The data frame is set by the operator, as OAP pointed out, which means you decide what parameters (Key Point Values) you are particularly concerned about and set the alerts accordingly. I am not an expert in setting KPVs but a programme that looked at control inputs, pitch attitudes and pitch rates on take-off would show when you were getting low pitch rates compared with stick position. Match that with expected airspeed (because a FBW platform like the F22 is likely to know...) and you have a clear indication of the size of the problem. You are right that you would have to know what to look for, but routine monitoring would have picked this problem up.
There is work going on at the moment looking at FJ FDM for the RAF (it's already being done for Chinook and Puma). Some people get it, but the more senior FJ guys don't. They will eventually, whether they like it or not.