I agree with the others about a bias cut binding not being stable and you'd most likely end up with wavy sides that are supposed to be straight. Only cut the binding on the bias if you have scalloped edges on the quilt.
As for wearing better or not logic tells me that if you are using fabric where the warp and weft threads are much the same (as is the case with most quilting fabrics) it won't make any difference, but if the warp threads are significantly stronger than the (softer) weft threads then cutting on the bias gives you a bit of both warp and weft wrapping around the edge. Cutting lengthways, with the warps, will make the weaker wefts wrap around the edge and won't wear as well as cutting width of fabric so that it's the stronger warps that wrap around the edge.
If you want diagonal stripes on a straight binding look for fabric with printed stripes.
@Iminei so you have photos of the quilt that some of us made for
@Cheesecake 's baby Lisle a couple of years ago? That was bound with diagonally printed fabric. I have a photo of the fabric but not of the bound quilt.
[ You are not allowed to view attachments ]
[ You are not allowed to view attachments ]
[ You are not allowed to view attachments ]
Linky