Seeing as this discussion became present in several other threads and I don't see one about it (and especially not one with a poll), I decided to open this tread.
As far as I go, I hope either Institute or BoS endings get canonized as they would make the Commonwealth matter more in the future.
As far as expectations go, I checked every criteria...
- Effort Criteria - expectation that Beth spent most effort on the ones they want to canonize and the least on ones they don't: Minutemen ending will definitely not be canon - Beth spent the least effort on their MQ branch and did not even give them an achievement so they seem to mostly be a failsafe (just like Yes-Man in NV). Other three got decent amount of effort spent on their branches, thus all are fitting by this criteria. Still, the Minutemen are the only ones not having to fear being destroyed as the canon Sole Survivor will likely be a Minutemen General. I don't know which criteria Beth will follow, but I think this one definitely eliminates the Minutemen, otherwise, Beth would give them a larger MQ branch
- Promotional material - expectation that Beth shows the canon route material: in trailers, the BoS are the enemy of the Sole Survivor and the Fall of Prydwen scene looks like the one from the Institute version (SS alone gazes upon falling blimp) rather than Minutemen version (the Minutemen and their general gaze upon it) or the Railroad version (you see it from a vertibird)
- Good always wins criteria: seems like Institute to me. While the Institute are not good guys per se, they are the good ending of a family-related story, which Beth seems to want this one to be. Additionally, "Hi Honey!" holotape practically tells you to go for it ("But everything we do, no matter how hard... we do it for our family."). In contrast, the cutscene of all three Nuclear Option endings compares the Sole Survivor's actions to the ones that ended the world
- Achievement criteria - expectatio that Beth chooses the canon based on popular player choices: the Institute ending seems to be the most popular, followed closely by BoS wile Railroad is far behind. Impossible to guess the MM popularity. This is based only on Steam achievements, but I doubt that it is much different amongst the platforms: BoS and Institute seem like best choice if the Dev decides upon popularity
- "What fits best with our future plans" criteria: impossible to guess for anyone but Beth...
Thus, I expect the Institute. But I might just be biased XP I do think MM won't be canonized though. So little effort and lack of "Solved the MQ with them!" achievement makes them unlikely in my books.
Well, it is also possible that they will try to not canonizing anything like in TES games, but I doubt it. The future of BoS alone requires a canon ending and they don't seem to follow no-canon philosophy anymore, even in TES.
So what are your opinions and wishes, folks?