I don't prewash fabrics, so I like to use the large front-loaders at the laundromat for the first wash of a quilt. I use Synthrapol and hot water. The big washers use enough water so that any loose dye is diluted a lot, and the Synthrapol keeps loose dye particles suspended in water so they get rinsed away instead of settling into fabric. I move the quilt to a dryer as soon as it is finished because I don't want damp fabrics sitting against each other.
My home washer is a front-loader, and in my opinion they do not use enough water to dilute any loose dye sufficiently. (Mine is an Asko, which is pretty small.) It is fine for a quilt that has been washed enough times that I am sure there will be no dye bleeds. My home dryer is too small for a large quilt; I would run the risk of burning the quilt and/or burning out the dryer.