I've just bent one sail onto battens, have done nothing on the other sail, and haven't sailed yet, and I've found it disturbingly easy to bend my battens by accident.
I too got T5 battens because I was unable to find T6 when I was constructing my rig. So far I'm planning to hoist them, hope for the best, and adjust as needed.
However as far as the "required" diameter, I would like to point out two things:
1. The resistance to bending under load has NOTHING to do with the heat treating. More heat treating will give it more strength before it takes a permanent bend.
2. Stiffness goes up linearly with wall thickness, but goes up with the cube of diameter. Weight goes up at about the same rate with either. So if you want to double stiffness, you need to increase the diameter by 25% or the wall thickness by 100%. The latter adds weight MUCH faster.
As for wall thickness, 2.5mm sounds sufficient: My research points me at a range of 1.5mm on the thin side to 3mm on the thick side. If you are afraid it isn't stiff enough, just go bigger instead of thicker.