So, my BAMTrek handlebar arrived yesterday. It is very close in shape to the stock handlebar. I installed it without any difficulty and took it for a 10 minute test on a paved road with several cracks and potholes. I think there is an improvement, but it is miner. Not a big difference, just a slight difference. I think one of the reasons the improvement is small is that the fairly upright comfort position of the Verve+ puts less weight on the arms to begin with.
I will try to upload a photo of them, naked, side by side, the Trek stock bar is on the right. The shape is so similar that I didn't notice a change in riding position between the two. Unfortunately I won't be riding again for quite awhile as I had a TURP prostate operation on June 5th and it has not gone well at all. It's now almost 2 months later and I spent last night at the hospital and now will have a catheter in for several weeks.