Most people don't run 243 chambered rifles with barrels longer than 22 inches, which is just about standard length for most off the shelf rifles.
There are a lot of reasons why you are getting 3250fps other than a barrel that's appx 10% longer. Between myself and my shooting friends we have a half dozen 243 ai's between 22-26 inch barrels they all run within 30fps of mine some are custom barrels some are rechambered factory
For instance, a tight chamber on the low side of mean dimensions and a shorter throat. as for throat dimensions mine is about the same as a sammi throat
Then again, it may just be you have a rifle that shoots a bit faster, no matter what.
I have two Winchester Mod 70 rifles chambered for the 30-06 Springfield. One of them, the older one shoots just about everything from 150 grain to 200 grain at least 100fps faster than the newer rifle. Both chambers can swap out hand loads and it doesn't have any affect on feeding or accuracy. Just 100fps difference in velocities.
This alone would take care of at least 150fps of your increased velocities.
The older rifle has a much shorter throat and both are factory, off the shelf, rifles.
The AI improvement is beneficial for almost any cartridge a person will hand load. In most cases that's it Agree for the most part but some rifles are trickier to get to feed ai than others
I also have a Remington Model 700 chambered in 243Win as well as an identical Model 700 chambered in 6mmRemington. With 105 grain bullets, the 6mm Rem has a definite velocity advantage. The same can't be said about lighter weight bullets.