At this point I can't really tell whether or not you think the Odd Generation thing is an actual indicator of chance or not...
I'm doing it at least partially in jest.
The other part of me remembers how much the fandom set themselves up for failure begging for Gen 5 Mythicals and thinks even if there's no actual scientific reason why an odd-genned Pokemon wouldn't get in that the universe itself might taunt them for their sheer arrogance.
Which is also to a degree in jest, but is also a "counting our chickens before they hatched has turned out pretty badly before, especially in this exact situation, so maybe we shouldn't count them before they hatch yet again" thing.
I don't even discount the possibility of something from Gen 7 getting in, just the air of inevitability to it.
That's gonna jinx up the whole joint if it keeps going, I can already see it.