I've used a variety of weights of fabric and not had a problem.
The problems have occurred if the fabric was one that frayed easily, not whether it was thicker or thinner.
The quilt I used as a teenager was a vintage DWR top (from the 20s or 30s that we had a local lady quilt for us. Many of the fabrics were what we would consider much too thin to use, but they were of denser thread count than the muslin centers and held up to regular use for 30-40 years. In fact it was mostly the muslin that was wearing out when I quit using it.