I have bikes with Shimano STI shifting, and bikes with Shimano bar-con shifting. I also have a tandem with Ultegra STI shifters, and therein lies the nub of my question.

I'm fairly new to tandeming (had the bike for 6 months) and it seems to me that bar-cons would be much easier shifting under almost all circumstances. Am I correct in this thinking? Have any of you had tandem experience with both STI and bar-cons? Which do you prefer? If you could switch from one to the other, which would you have on your bike? (money is not an issue)