i'm late to the party... but "h bars" also confuses me...
THESE are H bars (titec/jones H bars) and the 1st generation MTB dual control work perfectly for them in a street/touring/commuting setting... lots of hand positions, and can use the controls (both stoppers and shifting) from the grips and the "horns" with comfort
*edit*
I'll add... I have a pair of XT brifters that I had installed at one point... I went back to the deore as the xt shift body was a bit more square so when my hands sat further up on the horns with the hands somewhat over the body of the shifters it wasn't as comfortable... so back to the deore I went... I still have the XT as backups and will keep them around until I pick up a pair of deore backups for that inevitable crash that kills one of them...