I've never flown a Falcon 20, but most swept-wing aircraft will behave relatively the same in a stall. There are several reasons why full stalls are dangerous in swept wing aircraft.
Jets power themselves out of near stalls very easily. Full stalls however would require the nose to be lowered considerably. You could easily lose 10,000+ feet on a full stall recovery. Since most jet operators do stall training at 10,000 msl, you can see how that might be a problem.
Another serious problem is controllability. Most swept-wing aircraft have very unresponsive aileron control close to stall speed. However, rudder control is heightened do to the high angle of attack right before reaching full stall. If the airplane were to start to roll to one side just before the stall, and you were to put in rudder to correct just as the stall broke, the airplane would likely roll inverted.
The only CRJ-200 to have ever had a fatal crash was during early flight testing. The test pilots were putting the aircraft through full stalls at 15,000-20,000 feet and lost control of the aircraft. It was unrecoverable.
Again, the Falcon 20 might not be quite as touchy, but most jets behave very similar.