I have a Balibaby stretch (gypsymama) and that is thin, =and cool jersey. I prefer it to the moby. I found the moby had to be retied after a half hour or so as it sagged.
I would, personally be careful of a thin wrap as they are fab with lightweight babies but once your dc gets bigger you can get pressure points. You can avoid these by being a suer experienced wrapper but it is still tricky.
So it depends how long you want the wrap to last, how comfy you want it to be....
I have a didymos that I find fab from birth - 4 years ;)