I don't really agree with any of that. In various degrees.
NT's are pretty common. Traders and engies less so on RK1 but they are both present in various numbers or combinations in like half the BS's I attend.
Apart from those 3 professions, there are other professions that can do a lot of damage to a soldier in AMS. You mentioned that there are a lot of soldiers and that is true. So when one soldier does AMS, other soldiers and people with AS or MA's with big crits and so on bring the AMS'ing soldier down really fast. Or just root him and leave him there to rot and then deal with him later. That's always an option.
Then you got the professions that laugh at soldiers with puny 3600 AR that keeps missing both burst and FA and can't land perks on them.
Then you got the fact that a lot of fights last quite long in BS unless the soldier has a heavy zerg on his side, so by the time the soldier wins a fight, AMS is going down soon and whoever comes along next will find a free kill.
It's not easy to get away when AMS goes down. A soldier without AMS will go down like a sack of bricks because of 6500 AS, 6500 FA, 3k bursts, all manners of DD-perks, 6500 sneak attacks, nukes and crap. Low evades and no heals does that to you. There's not a single profession in AO that can't stop a soldier from running away. Everyone has the tools needed. Blinds, roots, snares, perk-snares, melee-stuns, perk-stuns, nano-stuns, blind perks, blind rings, root grafts..
My personal favorite though is to simply skip all that easy-mode stuff and simply follow the soldier and shoot at him. It works wonders. Its not like he will get away by shouting "psyche!" and then running away like a bolt of lightning into the magical land of Narnia. If he runs into a teleporter, I just run after him and do some specials in his ass and he dies. There's nothing hard about that what so ever and he certainly didn't find it easy to avoid that from happening