Same price? Around where I live the A-Bolts are $200 more than the equivalent T3.
I like the 3 lug bolt and controlled round feed of the A-bolt.
The T3's bolt lift is short, only 70° compared to most 2 lugged bolt guns at 90°.
The A-bolt is even shorter still at about 50°. The T3's bolt throw is smoother though. The only smoother bolt throw is found in Sako actions
If I had to choose I would pick the T3...in fact I have a T3 Lite in 308.
Its guaranteed to shoot 1MOA and mine easily does that. Rem Exp Core-Lokt will shoot groups from 1-1.5", Federal Ballistic Tips, Win Supreme Ballistic tips, and Hornady Light Magnum at 0.5-0.8", and will shoot Black Hills Match at 0.3-0.5" all at 100 yards.
I simply have never had a stock fit me as well as the T3's does. That is a personal issue of course.
You should try to shoot one of each. To me, the A-bolt feels like a more expensive gun, but I think that's simply because it's heavier. The T3 almost fits into the ultra light category of rifles and I'm surprised it's not marketed as being one.
For me the T3's selling points were:
-accuracy guarantee
-stock fit
-smoothass bolt
-great magazine that lets you feed single rounds into the ejection port
-much better fit and finish than a similarly priced guns. The bolt lugs came from the factory with almost 100% contact. You don't find ugly half-ass finish on the bolt handle, jeweling on the bolt to hide the machine marks, ugly welds, rounded over corners on the metal where the lines should be nice and crisp, etc.