Echoing everyone else here. My launchday iPad Pro 12.9 has exhibited exactly none of the issues you've raised here, and it's been used heavily every single day.Got an iPad Pro less than a year ago. Mostly to consume video, I was very impressed with the mini LED screen. There, it has not disappointed. Overall however, I am very disappointed. Face ID simply sucks, partly because they use the camera on the short side of a very wide display. EVEN when I am holding it in Portrait mode, it can fail unless I tilt the top towards my face. I get a LOT of "Face not recognized." Reorienting it generally brings recognition. The camera needs to be located on the long side, not the short one as long as they are forcing this biometric on users. Frankly, I'd FAR prefer the touch ID system. I used same for a few years on a previous iPad Pro. Next why do I have to go through massive contortions to get rid of the lock screen? First I have to make sure it pointing at my face. Second I have to swipe up. Well, I have a 50% chance to even GET to my Home screen because half the time it brings up every notification I have gotten in the past 10 years! Turn off and start all over from the beginning. Oh and THAT is when the swipe works at all... for some reason about a third of the time, that swipe up simply does not respond. On my iPhone (or previous iPad Pro) with Touch ID, I press the button and 100% of the time I get to my home screen. AND that ties into the fact that touch in general becomes unresponsive maybe 25% or less of the time. No scrolling, no quitting apps, no launching apps, no nothing. Not for very long, but generally under a minute... trust me that feels exceedingly long. Bad design decisions and terribly software are jointly the issues here.
I'd agree with others and say it's your personal tablet and nothing else.
My FaceId works a treat, there have been no issues with touch sensitivity, and I've seen no delays on anything.