There were no politics at play in Chychrun's slip. Simply scouts collectively were not happy with his performance in 2015-16 (not building significantly on his amazing 2014-15 year) and other kids had their stock rise comparatively. Usually, when people use "politics" as a blanket statement about a prospect it can mean multiple things. Here they are, and how they apply to Chychrun.
Over-involved parents or shady agent- While his parents took amazing steps to allow him to play high-level hockey, including at one point flying in on weekends to play for a Michigan-based travel team, I haven't heard of them being like Cody Hodgson's dad at all. So I would dismiss this one.
Kid is a headcase-Absolutely not the case, the kid was said to be very good in his interviews, acknowledged reasons why he didn't live up to expectations. There is also nothing about him being a bad locker room prescense.
Non-Transfer agreement in place- Doesn't apply at all, this applies almost exclusively to Russian products who are unable to get out of their KHL deals, so teams are reluctant because they don't control their prospect and where he will play.
Sometimes weird things happen, and a kid falls too far because teams either draft for need or it just plays out that each team just liked one kid a bit more. He looks to be playing like people expected him to after his rookie OHL season. But, I don't think there were any politcs at play.