PMA
If I undestand you correctly, you are suggesting that a high-energy manoeuvre from low level can trigger a TCAS alert in an overflying aircraft because the FJ has (transiently) a RoC that the airliner's TCAS interprets as a collision threat.
If that is the problem (and I freely admit I don't really understand - the helo I fly doesn't have TCAS and has no hope of achieving the RoC needed), then I suggest we the military may need to think seriously about it. Setting off TCAS will, I understand, cause civ pilots to take evasive action, and it won't be long before the shaken passengers and the ATC who have to sort the resulting confusion start complaining hard.
Anyone out there got accurate technical info?
Sven