While this is highly likely and essentially agreed upon by all experts on the matter, it's not proven yet.
(If they had to bet, I think all experts would bet on “it’s a draw”, but some experts won’t be wanting to bet, even if they think that’s almost certain)
> if offered a quick draw, black will almost certainly take it
[citation needed], and 1200 elo games on lichess aren’t a valid citation
While Alpha Zero is good, this is not very good proof. Alpha Zero is not perfect, so if there are tiny ways to win that Alpha Zero misses, it will miss it on both sides (being the same engine), so would never explore that path.
It's like claiming inbreeding will result in perfection :)
Can you cite this?
I can't see anything on this.
It's not something a chess champion would know on their own for instance.
Basically you have to get a good understanding that the advantage of being white can't be leveraged enough to win.
Obviously it can't be proved, but to even get an idea will be very mathematical or computational.
70% draws is a very small number, really. Not conclusive at all.