Inherited Gem Tag vs Active Property Clarifications

Alright I've seen some confusion about gem tags vs skill properties being inherited and wanted to get a clarification post going. Question color marked for those who want the TL:DR

It's currently known and un-debated that gem tags can be inherited from support gems to an active gem. Death's Aura inherits the duration tag when you support it with arcane surge. This is how to get the Death's Aura skill supportable by Swift Affliction and Less duration.

This can also apply to other skill supports like Decay support which gains the applicable benefits of Efficacy when both actively support a skill that can be effected by both. Same when decay is on a minion skill, it's damage becomes modified by minion damage modifiers as it gains the minion tag since the active skill has that tag itself. I think this last part is what leads to the confusion.

Seems to be a little confusion however about whether or not support skills (particularly Decay since it's one of the few separate damaging supports) gain the benefits from the active skill they are assigned to that are NOT directly tags, simply skill properties. For example, if decay supports essence drain, does Decay gain the benefit of it's DoT scaling with spell damage as the base skill does, or does it not since this is not a tag that's inherited just a property of the base skill?

I've seen both answers to this question, and know it was once believed to, but would appreciate some clarity if GGG could throw a short explanation, or if someone knows of a GGG response I haven't found on this matter.