While some folks do not like The Government, one of the agencies that does make our world safer is the NTSB, (National Transportation Safety Board).
It’s main goal, in theory, is not to grow itself, but it is to investigate accidents to determine what caused the accident to occur. The cause(s) are then studied so that we can figure out how to mitigate them so as to avoid another accident from the same causes. This process does make our skies, highways, water ways, & railroads safer.
One issue is that we do not always find out what the causes are. For example we really do not know what caused Malaysia Flight 370 to be lost at sea. At best, IMHO, we have an “educated” guess.
The NTSB does investigate ALL US air carrier accidents. In theory it also investigates all General Aviation, (GA), aircraft accidents. In practice, according to the NTSB the most common causation of GA accidents is “pilot error”. Which, IMHO, is an easy cop out that many of the NTSB investigators use all too frequently. Note: I said many, not all.
The problem is, to make the sky safer, we need to know the true cause. If Pilot error is the go-to cause, we are not able to mitigate the real cause. We assume that more training is what is needed. It may be that more training is needed, or it may not be.
If many of one Make & Model of aircraft have a single cause for multiple accidents, then the NTSB can, & often does, recommend to the FAA that these aircraft not be flown until the root cause is fixed. The FAA usually acts on the NTSB’s recommendations. Not always.
If the “fix” is too costly in time, then the FAA will often allow the aircraft to be flown for a limited time until it is prudent to effect the repair. Interim inspections will be required. For example if the engines would need to be disassembled to install a better part, the FAA will require that that part be replaced the next time that the engine would normally get disassembled. Think Overhaul time, or a “hot section” replacement, or for prop planes, a prop strike inspection.
One reason that the FAA does this is that the new, better part may not be available in sufficient quantities to refit the entire world’s fleet of that particular Make & Model. This delay gives the manufacturer of the new part time to build enough parts to refit the fleet.