I haven't had them side by side due to mine being a replacement, but I remember my old 2711 very well.
The image on that had much more red in it than I'd like compared to the 2713H. This was made even worse by having a 2412 sat next to it. Looking at the 2412 made the 2711 look obviously red, looking at the 2711 made the 2412 look overly blue.
It ultimately all comes down to the type of LED they've used in each monitor I think. From what I understand/can see, the LEDs in the U2713H are much more neutral, at least compared to it's predecessor.
As for the anti glare coating, it wasn't until I got the 2713 that I realised how bad it is on the 2711, to that end I would have thought that having them side by side would be incredibly annoying.
Ultimately, I'd say you're better off keeping all of your displays the same, keep the colour as uniform as possible so it isn't distracting to your eyes.