Here are some paraphrased translations, from a French speaking guy (me):
So George was asked (in French) if his decision had anything to do with animosity towards Dana White after his post-fight press conference (prior to GSP arriving)... here is what REALLY happened:
GSP knew he needed stitches, but kept waiting for the doctors to show up (he never left in an ambulance). He had time to shower, put on a suit and tie, and afterwards the doctor came to give him stitches.
Once he was stitched up, he told the UFC staffer (he said it in French - seems like he meant a UFC Media/Communication representative of sorts) in the locker room that he wanted to go to the press conference. She told him he didn't need to.
Again, he insisted, saying that he knew there was some controversy surrounding the decision, and again she told him not to worry about it. At this point, he knew something was up, so he brushed by security and over her insistence that he stay, he yelled that he was going.
In he walks to the press conference, still completely unaware of Dana's comments, and he doesn't understand why everyone is "white as a ghost". He sits down, answers some questions, and that's it.
It was only the next day when friends told him what was said, that he became aware of Dana's comments. GSP goes on to say there is no bad blood, he respects Dana, and knows that at his core White is a promoter - people don't have to like White, he just needs to make sure the fights sell.
Some more points to come out: GSP thinks he won rounds 1, 3, and 5, and wouldn't have accepted the belt otherwise. When asked about the personal rumors (no specifics were mentioned), he said that he hasn't heard ALL the rumors, but that his private life is just that: private. In terms of this decision to step away, he said that he needs to ensure he remains healthy, mentally, and that he needs to take some time to find that competitive spirit. This announcement has been in the works for several fights, and further, he knew he was going to say something BEFORE the fight with Hendricks. He was emotional when Joe Rogan pushed for an answer, so he claims it didn't come out as he intended, but this was no last minute decision, nor was it sporadic.
I've gone back, and here is GSP's version of events as to what took place after the fight and into the post-fight press conference. Direct translation, word for word. Original video (no translation): Part 1 Part 2
Transcript below starts at 5:49 of Part 2.
What happened on the 16th of November, after the fight... I waited for the doctors for a very long time because I was supposed to get stiches [on my face]. They finally showed up and gave me the stitches, and I had already had time to shower and change - I was wearing a tie and everything.
So once the stitches were done, I have the press attaché for the UFC, that works for the UFC [in my changing room], so I stand up, and I ask, "Where's the press conference?". And she [the UFC press attaché] tells me "Oh, you don't need to go to the press conference; it's OK". So I said, "No, I have to go to the press conference because there was some controversy after my fight and I would like to explain myself and help clear things up". And then she said, "No, no, it's OK, you don't need to go". And then I said, "No, no, I want to go," so I started to walk to go to the press conference and she screamed at me, "Georges! You're not allowed to go; you're not supposed to go". And I replied, "Oh yeah? Well I'm going anyway!".
So I moved passed security, because I knew something was going on; and that is true. I swear that it's true. I SWEAR it's true. So I arrived on stage at the press conference and I had no idea why everyone was white as sheets [white as a ghost]; people were looking at me, they were white [as ghosts], they were surprised to see me, and I didn't understand why. And then I realized, maybe something had happened. So I sat, and I did the press conference, and afterwards, because I had no idea what had happened, and then afterwards, with my friends, I was told that there was a rumor about me going to the hospital in an ambulance.
He then goes on to reiterate that the damage he suffered was superficial, and that while Johnny hits hard, GSP was fine two days later and was out playing volleyball and running on the beach in Malibu. In either this press conference or the phone call just before, he also mentioned (when asked if the damage he has taken over his fights is influencing this decision), he said "absolutely not", and says he is at 100% physically and has never felt better.