Great question!
I'm going ot give my opinion even though it's not any better than anyone else who has tried at least both of them.
I started with a used Hoyt.. Maxxis 33 or 32 or something like that.
That ****ing bow was a tack driving, flat shooting, beast of a bow. At 50 yards (as far as I shot at the time) it was slinging flat arrows and I was consistently grouping them on top of each other and splitting arrows. Granted at the time I was shooting 50 arrows a day, every day... You can say I get obsessed with things.
Long story short, I blew that bow up and needed a new bow. I went to my local bow shop and shot every bow they had.
Now, at the time all of my bow hunting friends show Mathews, and I worked out with them every morning... so every ****ing morning I had 8 *******s telling me i might as well hump Cam Hanes, etc etc..
Back to the story - The triax was just released and everyone was drooling over it. I went and shot every bow, and at 15 yards on the trial range, I started to see the hoyt was a little less "gentle" or "smooth" or whatever in the hand, and that Triax shot like butter... "Oh it's dead in the hand!"
Whatever, I bought the Triax and it's a great bow. But at 40 yards it starts to throw an arc on a shot like someone granny shooting a freethrow... I shoot out to 70 yards now with it and it's an granny shot like you wouldn't believe. I'm pulling 70#s just as i did with the Hoyt.
If I can ever talk my wife into shooting (she loves shooting guns and the outdoors in general, so there is hope) then I'm going to get the newest hoyt the next day and giving her this Triax, but until this, this thing will do.