To be fair, in this proposed version of "Elite Armored" it seems that HEAT shells are just a pen-improving passive. In such a case, even if the Jagdtiger got them, it'd really not make any difference to the unit.
(I don't think it can even use Panzer Commanders anyway).
That said: I don't see Elite Armoured as needing either HEAT shells being changed in this way, nor do I see why it needs the Jagdtiger. The current HEAT shells in conjunction with the Panther or Jagdpanzer provide fantastic AT power already, albeit at a munitions premium.
I would like to see the Sturmtiger either changed to be less of a meme, or replaced with something else in the doctrine, but I can't really see the wisdom in giving that commander more AT power than it already has... it's already incredibly heavily geared in that direction as it is.
(Also, unless they're the OSTheer Opel Blitz', I'd rather have the 221/223 than the Fuersturm Blitz, though I would like to see the 221/223 improved/reworked a bit... it's currently not quite what it could/should be)
The change has more to with theme of the commanders:
JT is not breakthrough unit and ST has little to do with elite.
ST does not benefit from Panzer commander or the "heat rounds" and does not really work with KT with heat rounds.
On the other hand JT should not be have a powerful off map like assault artillery.
"Heat rounds" although presented as an AT improvement actually work in AI with extra damage as I posted yesterday and imo would be better as simple passive.
As for JT in elite armor imo it fits the theme and it would improve the viability of the commander in large modes. Changes solidify Elite armor as a prime AT commander.
The main issue was the economy vehicles that had to go and it actually fits scavenger better.