I'd recommend just playing around with it in-game for a few minutes, as writing text invites confusion.
It's been solved a bunch of times already, and as I'm looking at the solution right now, no rules are broken.
I may be misunderstanding your post, but in an attempt to preserve spoilers I'll say your 2nd logic point seems inaccurate.
Yeah doesn't make sense. Basically from the wording you have red, green, pink in the bottom row odd columns because: red and pink are in the corners of the same row, pink only appears on the bottom row, orange and blue have to be in the odd columns and you can't have orange on top of green except in an odd column. Basically the bottom row has to be r/p ? g ? r/p which then eliminates both blue and orange from being on the bottom row and pink can't be on the top row. Which gives you 3 colors that are single.
Right, I gave an example that was wrong in order to avoid spoilers, but the rules are still true.
R1C1 and R2C2 would be the same, just as R1C2 and R2C1 would be the same. <--- this is assuming the connected columns are 1 and 2, which I'm not saying is true because again, I'm not posting spoilers.
There's only one solution, so I'm surprised you're saying which corner pink and red belong in is moot. It's definitely not moot!
