I received my Pixel XL2 today and literally have zero blue shift. Coming from a Note 8 the screen colors definitely do not pop but I know it's deliberate and can be fixed with a software update. Other than that the software is absolutely amazing and the screen colors do not bother me and they do create less fatigue. Display is definitely warmer than the Note 8 but it's a very nice screen.
When you try the camera, listen to the speakers and see how smart this phone is you'll be as amazed as I am. Definitely the best phone I've ever used.
Received mine the first week, the 19th to be exact, and I have no problems. I saw the blue tint at angles when I bored up there first time, but only because I looked for it. If these phone sites weren't making such a huge deal about it, I wouldn't have noticed or looked. No sings of burn in either. Like others said, I'm sure they are some people work real issues from damage or a bad batch, but think it's being blown out of proportion in an attempt to get clicks.
The blue tint isn't that big of a deal but my Pixel 2 XL is going back. Mine was delivered Wednesday afternoon and Thursday night I turned my phone to watch a YouTube video and noticed a dark line across the display right below where the top notification bar is. Shifted to the picture gallery and sure enough there is this dark line across the display. This morning when I woke up the line was completely gone. an hour or so into my morning and it was slowly creeping back in and within 2 - 3 hours into my day the line was just as dark as it was last night and only getting worse. I've already got my RMA and unfortunately it's going back today for a refund. the first 24 hours I loved the feel of the device, the camera was awesome and the front facing speakers were an amazing upgrade over last years model.. but the screen issue is just a complete deal breaker. Maybe (hopefully) Google does something about the panels and come Christmas or first of next year it's fixed to the point of taking another stab at it...