You should never, ever, have matching fabric between your pocket square and tie. It looks like one of those terrible sets they sell for prom or something. GQ doesn't do any better, leading off with a red gingham shirt paired with ... a red gingham square.
I think it's even worse -- that's a pink gingham square with a red gingham shirt, but the values are too close, so they sort of blend (but don't). Terrible combination. Those pictures with the chefs in the suits have terrible pocket square combinations, too. Weird.
I do like that they pick stuff from TieBar a lot, though.
I think most of those looks are terrible, and the squares they picked aren't really attractive squares on their own either. They either look like tie patterns, which is fine if you're wearing a solid tie, or a large paisley or something, or they look like shirt patterns which I don't get at all. There's not a single square that just has an attractive pocket square pattern, like a Drake's or Rubinacci or something.
Pocket squares are my new obsession (i like to wear my suit without a tie, so i cheat with a pocket square) and it's single-handling making me re-think how I match up patterns and colors. It's a good forced exercise i feel.