TSA regeneration -- AMF backlash? (in General)

Here is a ranged round when I fight an opponent with AMF:

=============================
Joe takes damage from his own Fireball (173321)!
Joe's Fireball hit Failsafe [209844], Failure [53664]
Failsafe absorbs damage [53664]
Hubbell Man's familiar takes damage from his own Magic Missile (112626)!
Hubbell Man's familiar's Magic Missile hit Failure [452047]
Failsafe absorbs damage [452047]
=============================

What's missing? No TSA regeneration for Joe (he has a base TSA on right now). So, I thought maybe he only regenerates when damage comes form elsewhere. But in the last round of ranged, things look like this:

===============================
Joe takes damage from his own Fireball (320965)!
Joe's Fireball hit Failsafe [663645], Failure [230675]
Failsafe absorbs damage [230675]
Hubbell Man's familiar takes damage from his own Magic Missile (208567)!
Hubbell Man's familiar's Magic Missile hit Failure [1148553]
Failsafe absorbs damage [499298]
Hubbell Man takes damage from his own Decay (210503)!
Hubbell Man's Decay hit Failsafe [61578]

Joe regenerated 111,545 HP
===============================

That is with Failure not doing any damage to me yet.

So, I just missed the fact that not only does AS not count toward the 4% calculation for how much the TSA can regenerate, when in the AS layer of hit points, the TSA doesn't regenerate at all? I didn't know that, and was just wanting confirmation.

If that is the case, does that make sense to everyone? I suppose it does, and if it got turned on even for the ablative case, the TSA would be that much stronger. However, I thought the 4% cap related just to native HP trained would suffice for that, as it still forces people to learn native HP (Joe has around 2.7 million native HP).

Thoughts?

From my experience and from whatI remember being stated, the TSA won't regenerate until all your AS HP are gone and your minion loses natively trained HP.

correct

Yeah, makes it pretty useless when trying to use a TSA to combat AMF backlash along with AS, even with the large HP investment. By the time my native HP is getting eaten into, it is being hit by much larger blows (like melee tanks). Ah well, maybe I can find a use for it somewhere else...

As a side note, I didn't realize that my DM made other folks TSAs so much more effective! All this AS I have been fizzling just puts the PL/TSA framework firmly into place from the start! *smile* That's actually sort of neat, that using a TSA and native HP can act as a bit of a fall-back point against big DM... Or, just don't use AS at all when using a TSA...