No it really doesn’t matter in the context of my argument:
Let me draw your attention back to the point I have raised twice now and you have ignored.
That something can exist without a cause inherently violates the principle that each thing that happens was caused by something else.
So that’s one side of your definition.
Or specifically related to notions of time; because that’s a complexity that seems to always be ignored - Cause and effect have a temporal relationship - cause precedes effect: without the existence of time, that notion of causality as cause preceding effect doesn’t hold. A “cause” that exists outside of the concept of time can’t be a “cause” in any way we understand the word because the very nature of timelessness invalidates the inherent premise of causality.
Or more specially it’s not possible for there a cause that exists outside of time from an effect; because causality has a temporal component. Something cannot be caused if it has existed for all time.
Now, the final possible option is that the rules of causality do not require a cause to itself have a cause - which appears to what you’re trying to sell.
That invalidates your whole argument as you’re basically agreeing that the universe doesn’t need to be caused. This is what I meant in the part of my post you ignored when I said:
“- Is there any point in time in which this universe doesn’t exist?
If the answer is no; then it cannot be caused in any way that matches our notions of causality.”
Or to put I another way:
If Everything has a cause: then causality cannot hold.
If not everything has a cause; then the eternal option and the possibility that the universe has no cause is valid.
All options are metaphysically and scientifically alien to us, with the exception of the “uncaused” universe - which is potentially implied by quantum physics effects without classical causes.
This is really just word play though: the real issue is that we have no basis to make any assumptions or statements about the reasonableness of the options in reality when every option breaks some convention.
The theistic argument here boils down to breaking origins into lists of option; pointing out that various options are incoherent - picking the option that moves the problem; then declaring a solution that has the same problems of coherence that you just described, but declaring your solution exempt.
That’s the special pleading element often referred to.
We have no basis to draw conclusions about he origin of our reality (the universe or whatever reality the universe exists within), because all of our ways of explaining them break down, and our notions of what is reasonable don’t really make sense.