Please check the pressure curves shown here. The powders tested all intersect at 2 1/2 - 3 1/2"
http://www.doublegunshop.com/forums/ubbthreads.php?ubb=showflat&Number=384719&page=2

This is a Red Dot vs. PB time rather than distance curve by Neil Winston



I've never seen a Blue Dot curve but pressure IS slightly higher further down the barrel

Sherman Bells pressure testing published in The Double Gun Journal Summer 2002 "Finding Out for Myself, Part VI, Smokeless vs Black", p.19, and summarized in Volume 17: Issue 4, Winter 2006, p. 39
1 1/4 oz. 3 3/4 dram GOEX FFFg Black Powder at 1240 fps and the equivalent load of Blue Dot

..........1 inch.. 6"... 12"
GOEX.... 5900 4100 2100
Blue Dot 6000 4300 2300

1 1/2 oz. at 1236 fps Blue Dot (weight not stated)
..........10,000 4,400 2000