I like the Snap On. I have several Snap On ratchets and several Armstrong 88 ratchets. I like my Snap On much better. Even in the 1/4" 72 tooth. It just seems to go a lot smoother. Plus I've had issues with the Armstrong 88's hanging up on me.
No experience with the tr3, but I use both Snap On and Matco ratchets. I don't have a preference, other than my snappy is a flex head so I use it more Both are quality tools
The Cornwell TR3 might not technically be in the same ballpark since its a 30 tooth coarse ratchet. That being said, i have a TR3 and I love it. It has less backdrag than the Armstrong locking flex I also own (60t).