It seems like there's some new knowledge that was previously unknown to the community, because there was no reason to care about it.
IMO: You can HQ anything that's T0, but only achieve HQ1. If you want HQ2/HQ3, you need to be T1.
The new recipes are, IMO, level 60 in their respective subcrafts.
This effectively means you need 71 skill to achieve an HQ2/3, which are the +2 armor.
I can't think of any other recipes where HQ tier matters prior to this. Su5 weapons & JSE necks were ~55 subcraft, so it was T1 without a maxed subcraft.