I have the 9.7-inch iPad Pro too! Mine is running well because it’s running iOS 12. It has 2GB of RAM, one of its most recurring criticisms back when it was launched, rightly (imo) questioning why its larger brother - released before it - has 4GB of RAM.Ha! 9.7 inch Pro...from 2016 . Has run very well up until about the last year...the keyboard is failing (reed switch I think) and sometimes the iPad is just....SLOW opening web pages. No real complaints as I've more than gotten my dollars worth! 256GB...not sure of the Ram but sure it's low. From the web:
An iPad model A1674 is an iPad Pro 9.7 inch with Wi-Fi and cellular data1234. It was released in March 2016 and has a A9X chipset, 2 GB RAM, and 12 MP primary camera3. It is the first generation of the iPad Pro 9.7 inch series
I think it held up well up until iPadOS 13, then people starting complaining a lot more. Frankly, it runs perfectly well on iOS 12, with about 25% worse battery life than iOS 9, but otherwise it’s just as good as it was on release.
I don’t have it, but I’ve also read many, many complaints about the durability of the keyboard that Apple designed for the 9.7-inch iPad Pro. People have been claiming from the beginning that it just breaks down over time, specifically singling out the 9.7-inch iPad Pro’s keyboard (in contrast to its larger version). Sadly, I think it just has a design flaw.
So yeah, I reckon it wouldn’t run too perfectly on iPadOS 16, sadly, in terms of both performance and battery life; however, I can say it’s nearly perfect on iOS 12.