yes and no seven.
You can't just allow any sim to be used that claims to be a certain type. Because, been there done that, with a king air flight model in back ground and instruments just stuck on the front. It just turns it into a sim game and doesn't give much training for the real thing. And JAR sims require TCAS and EGPWS instruments to be simulated and its just not worth upgrading these auld heaps sims to comply with it.
But someone has to pay for it to be approved.
But to be honest even if they were blanket approved on the back of an FAA approval the operators wouldn't send folk to them because of the cost of sending pilots to them and the amount of time they would be off line for.