Obviously this is a personal preference thing. That said I tried trekking bars and found them lacking by comparison. If I had a MTB and wanted to convert it for touring I might use them to avoid having to change brake levers and shifters, but otherwise I wouldn't consider them. The hand positions while numerous didn't feel as natural or comfortable for me. This may just be because I am so acclimated to the drop bar positions and like all my bikes set up with a similar position.
You may find them to be the greatest thing to come down the pike though. I'd say to try to get a ride on a bike with them to see what you think.
Since I have a strong preference for STI drops are a no brainer, but I would pick them even if I didn't want STI.