Big kites with tip battens instead of struts dont turn faster or any different.
Only if you have problems with a soft strut that bends fully (puckering) - a batten will help.
But with a normal strut, or well designed kite, tip battens has no effect on flying characteristics at all.
There are a few kites that might be better off with tip battens - one is the 2001 Airblast 8.4 (only the early 5 strut version).
This very model is almost impossible to avoid from puckering because of too thin, "non stopper balled", quite wide tips - so here tip battens will help.
They changed the design on the 8.4 shortly after this, so it became 7 strut, and with a tip strut that did not bend (thicker, and stopper balls on newer ones).
The reason why some don't use battens, are for safety reasons for one.
A batten can be very very damaging and dangerous, if you are hit by one (kite tip).
You have flotation at the very tips, which make high AR kites relaunch better.
The kite will be easier to pack up into the bag, and you don't have a risk of a broken tip (but you risk to get a puncture instead
)
The turning behaviour when tips okay, is the same.
And finally you don't have any "wear and cut through the webbing" problems.
So even though you have to fiddle with pumping the smallest struts - there are lots of advantages in using tip struts !