From the 03-04 MDX helms service manual:
The bleeding sequence sequence is:
1) Front Left
2) FR
3) RR
4) RL
yes I read that like for a full minute before posting.
Yes I actually have done my own brake bleeding/flushing and must have done that sequence on my 04 and I can tell you it works fine. I did the 2 man routine. Actually my wife was the helper
BTW#1 when I did my accord brake flush/bleed a couple of years ago, I think I messed up the order and it was still fine. Obviously try to follow the manual but I *doubt* that messing up the order will be as disastrous as say forgetting to tighten the lugnuts. I have heard furthest from the driver etc, so who knows. try it and let us know hehe.
BTW#2 my guess is that the order is supposed to insure that all the old fluids get transferred out so if you do it out of order, your total brake fluid in the system might not be as clean as if you followed the correct order per factory manual. This is just a GUESS so don't be flaming me.