QTR made a huge improvement on the 2200 and 4000 due to the far-from-gray-balanced behavior of that generation of Epson drivers and severe non-linearities. The yellow ink in UltraChrome was also highly prone to color shifting under different illuminants. Gray balance is significantly better with the K3 drivers. For ABW the response is nearly perfectly linear; with the standard RGB driver it's not so good, but it's compensated for by a good profile with sufficient neutral patches.
As I summarized in my ABW descriptions linked to above (applicable to the 3800):
ABW pros are (1) deeper blacks, (2) more linear behavior, (3) less metamerism, and (4) (theoretically) better longevity due to less use of the colored inks, more use of the black inks -- no use of C or M, only small use of Y.
ABW cons are (1) no soft-proofing unless you have special profiles made, (2) no split-toning.
For ultimate control over custom toning across the whole scale, printing through the standard RGB driver is still the way to go -- as described by Diane above.