I didn't realize that the bars can't be rotated in them. Is that just your particular brand/model of integrated stem or is that common for most all of them?
I tend to be of the thought that I'll avoid them if possible. But that was also a thought I had about disc brakes when I was looking for a new bicycle. That thought got dropped quick, as the offerings for bikes with rim brakes were less than desirable at the time when all else about the bike was considered. I wasn't uncomfortable about the idea of disc brakes on road bikes, I just felt they were overkill for a road bike. My experience with disc brakes so far has been extremely good. However I'm concerned that won't be the same if I get a new bike with integrated bars/stem.
And likely when looking for my next bike in a year or two, I'll still be looking at models with higher tier components and frame build. I imagine that all the upper end models have integrated bar/stem on them and I'll have to capitulate and accept them. Or settle for a lower tier bike.