Often times when I receive messages, even iMessages, my phone sometimes gets it like 2 minutes before my Late 2013 rMBP 13" gets it. This didn't happen before El Cap and iOS 9. My iPhone is the 6 if it matters.
That’s funny. Sometimes I get it on my MBP early 2011 before I get it on my phone. I could see it happening like your way, but to get it on the computer first seems odd.