You have to look at the entire category description, and sometimes an accompanying "general rules" where further descriptions are given, not just the category name. Generally speaking ... quilting on a domestic machine refers to the fact that the fabric is in motion as opposed to the machine (frame mounted). Category descriptions (at least the better ones) generally do not distinguish between the size of the machine, only the method (machine moving on a frame mount, or fabric moved under a stationary machine). In that respect, yes, the George would qualify in the "domestic" category because the machine is stationary.
Here are the definitions for the "Long Arm" and "Home Machine" are defined for American Quilting Society DesMoines quilt show.
- Home Sewing Machine includes use of any sewing machine that is table-mounted/stationary, allowing the quilter to move the fabric rather than the machine.
- Longarm Quilting Machine includes any machine mounted on a frame, allowing the quilter to move the machine head rather than the fabric.
Quilting on a 20" George or a 16" Sweet Sixteen - both stationary machines - is NO different than quilting on a standard domestic machine except with more harp area it's easier to move the fabric.