Yes, wider ribbons can be used, but you need to do a bit of trial and error. Silky ribbons will not work as they will not stay tied.
Ideally, you want to create the ties from fabric or use bias tape, if you can do so.
Many of our craftivists have used ⅜-inch to ½-inch cotton twill tape, after sewing over or knotting the ends.
Also, matte grosgrain ribbon is okay, again with ends sewed or knotted.