I am going to be the odd man out here. I took a DSLR on vacation and I regretted it.
Truth is, a real DSLR will take better pictures. BUT, to get better pictures it requires you to set the shot with a lot of settings. I owned this DSLR and took many family event pictures. I knew in advance what kind of pictures I would need to set up for and studied the settings so I would be prepared. I stayed at a beach house with the family. Kids playing in the sand, surfing, boats, sunsets, etc.
Here is what happened. I spent so much time setting up the camera all the time that I missed great moments with the family and the vacation. by "I" I mean on personal level I missed out. In the end, about 50% of the pictures turned out worse then they would have with the 6p. The other 45% turned out slightly better and the last 5% were exceptional. I missed many great picture opportunities because I couldn't get the shot. Lastly, lugging all that gear, the camera, two lenses, covers on the camera to protect it, etc, that it became a burden and made be a bit grumpy. Lastly, when I got home the family kept recounting certain events that I couldn't recall, even though I was there. It occurred to me that although I was physically there, I was gone mentally and missed out on the human interaction.
So, if you are professional photographer and can instinctively know the settings and do it quickly. And you take a little less care (unlike me) in bringing the equipment out into weather and not stressing about it. Then go for it. I am no slouch when it comes to photography and I have even won a few photo contests. I owned the DSLR for about 2 years, so I knew the camera.
Yes, the DSLR can take better pictures. But I wouldn't recommend making it the primary camera of your trip. I would bring it on select special outings and then use the 6p the rest of the time. I will never again do a full trip and expect just to use the DSLR. It is the human experience that makes the trip and pictures are just a bonus. When you combine the two, you won't care that shots aren't perfect everytime and appreciate that you shared the moment and captured it.