With the 6.5/250 AI, my log book shows a three shot group, extreme spread 3,052-3,055 with a 150-grain custom bullet. Raising the charge got 3,100 to 3,108 (3 again).
With a 140-grain flat-base (long shank), I was getting 3,109-3,113 (again, 3 shots). This load also got small group of the year at Hawks Ridge in 2006, a five-shot 2.445. Actually, this group was a tie, but they gave it to me based on a higher score. The other 2.445 was shot, of all things, by a 6.5/284 -- but I'll bet dollars to donuts the bullets weren't going as fast.
This was with a 8-twist ratchet-rifled barrel. These, and the 5-R profiles seem to get a higher velocity.
You really want a 9-twist barrel for the 6.5/06 AI, & probably for the 6.5/284, at least if you are going to push it. I got that 8-twist RR barrel at a bargin I couldn't pass up.
To answer you question, yes, you can get higher velocity with the 6.5/06 AI, and yes, you can use it to good advantage, but you may have to experiment will bullets. And don't forget, that higher speed is a very marginal factor. Might make you feel better, but on any given day, a 6.4/284 will clean your clock, just as the next day, you'll clean theirs.
If you get a 6.5/05 AI, I'd recommend setting the chamber up to use RWS .270 brass. It is better than the 6.5/284 brass, but costs more. TANSTAAFR