The fabric dries with fewer wrinkles if the dryer is not overloaded.
I have a dryer that lets me set how "done/dry" I want things to be. I do dry similar things in together - towels with towels, lightweights with lightweights, etc.
If drying a really long length of fabric - I check every few minutes and untangle it.
Usually the fabric is not very wrinkled when I take it out of the dryer. I think it's letting it set for hours in a rumpled heap before folding it that puts in the wrinkles.
In general, I also prefer to not add starch or sizing to washed fabric before cutting it.
Exception: When I know the pieces will be very small or have several bias edges.