I am pretty intrigued by this phone. So here's a few things I have to ask.
I had the P8 Lite by Huawei. Which was an okay phone, but it had a super sensitive screen. Where when I typed it would add like five extra letters sometimes. Is this screen too sensitive? Or is it good?
I had the P8 Lite as well. Actually, two test ones and two that I purchased. One of them did have the touchy screen you described, and I saw many complaints dating back to before it was released for that issue. On the Honor 5X I never experienced it nor heard anyone else mention the issue. It is a different screen and different size, so I'm not surprised it isn't an issue. FWIW, one of the suggestions for fixing that issue on the P8 Lite was to remove the preinstalled screen protector. There is also a preinstalled screen protector on the Honor 5x.
Camera. How's the camera? Is there a lot of noise? Decent low light photos? Etc.
I find the camera adequate for my needs. I don't think I'd win any photo contests with it, but that is more than likely due to the tool behind the camera, not the camera itself.

I'll add in some photos I've taken in a follow up, though many I've posted here in the past couple of weeks have been taken with the phone. I just stripped the exif data as required during testing.
Here's one in low light from just the other day, posted in the Summertime is Grilling Time thread in the lounge.
Battery life. How would you rate the battery on this device?
Battery life, like I'm sure you experienced on the P8 Lite, is unbelievable. I use the thing all day every day and never worry about making it. I'd say aside from nonstop gaming two days on a charge would easily be attainable. I'm at 92% of battery now after 6 hours. I'll let it run out overnight and update with a screenshot in the morning.
Any screenshots/example pictures greatly welcomed ;D
In addition to the pic above, and the promised battery stats screenshot, I'll put up a few pics. As I said, I'm not photog, so any pics are really just point and shoot.