And what are you suggesting, that BoG Movie SS2 Vegeta pre-rage boost is at god level then?
That's mix and matching different things. In the movie Beerus wasn't even twice as strong as SSJG. In the anime Beerus is stronger than SSJB x10. Enraged SSJ2 Vegeta is a lot closer to Beerus'level than in the other.
But yeah in the series he calls Vegeta utterly pathetic and calls Trunks pretty good which if course implies Trunks superiority.
But that would make SS2 Goku stronger than Super Saiyan Blue, Golden Freeza, Champa, and Beerus, with SS3 Goku stronger than Whis & probably Vados.
Yeah but we know he isn't. If SSJ Goku can give Beerus a good fight then SSJ2 Goku can rival him. He doesn't have to be as strong as Beerus, might not have even been referring to Beerus. Gowasu's comment just put him at a level closer to that level rather than him being at Cell level.
Ιt has also been stated & shown that base Goku is slightly weaker than SSG, yet you seem to ignore it.
No I've said that too. Goku gets tens of times stronger when he transforms. His Base strenght should be 1/50th of his SSJ as it always was and his SSJ is just say roughly as strong as SSJG.
But with how strong SSJG is then Base Goku could be 1/50th of that and still be far above SSJ3 Gotenks.
We can't know for sure, but it doesn't matter in this discussion that we are having.
Then what's it got to do with anything? Trunks not being able to sense SSJB Vegeta while Base Goku can doesn't mean anything strenght wise if Goku can only sense it because he has that power.
So, are we simply going to ignore the fact that Goku & Vegeta are powering-up with white auras as if they turn into Super Saiyans almost every time they display power higher than SS3, and they never use SS/2/3 in that state?
That white aura has nothing to do with anything. I was watching clips from GT earlier where Goku has a white aura. Gohan had a white aura in Fusion Reborn. When they were fighting Whis in the movie the white aura would be there and then it wouldn't. In the anime there was no white aura when they fought Whis.
That doesn't mean anything at all.
Are we simply going to ignore the fact that base/SS Goku & Vegeta in the tournament were comparable to Piccolo & Majin Boo
They weren't. Neither could beat the tar out of SSJ3 Gotenks.
and they get the regular x50/100/400 boosts in their SS/2/3 forms instead of insignificant boosts, as we were shown in BoG?
That was the movie though. It's obviously different in the series but in neither version was there any mention of this two base stuff.
Are we going to ignore the fact that everything says that base Goku & Vegeta with SSG powers are at the same level as SSG itself?
Well nothing specifically said he was, there were some things that implied it was and some things that imply it wasnt. Unless Base Goku and Vegeta are that level in the series right now and the multipliers are still intact then I suppose their not.
Are we simply going to ignore the fact that base Goku is stronger than SS2 Trunks, while at the same time SS2 Goku rivals SS2 Trunks?
They've never said that Base Goku is stronger than SSJ2 Trunks and we don't know if SSJ2 Goku rivals Trunks. From what we've seen Trunks is stronger than Base Goku or he wouldn't have performed as he did against the three people he fought but he's not as strong as SSJ2 Goku because he put up an even enough fight against Black while Trunks did not.
How do you know? We know that Toei have been making changes to Toriyama's story draft, and they have removed SSG once before even though Toriyama had it in his version of the story (in the climax of Goku vs Beerus).
Nobody knows that's why the logic doesn't fly. Both the anime and manga version of that fight starts the same and ends the same. The stuff in the middle is completely different, Toriyama may not have included either SSJG or Kaioken in the outline he could have just put "the two of them might and Goku is able to break through Hit's time skip".