In the typical sequence of parse-transform-render the most efficient place to transform coordinate values is deep within the parser immediately after values have been read (this would avoid a second pass over whatever structure is used to back geometries). To accomplish this transform during parsing, we could add back parser read options to pass the transform function around.
Until then, a transform method on geometries is straightforward to implement. This means we do a second pass through coordinate structures to transform, but this is typically done only once immediately after parsing.
KML and WKT don't specify a winding order, so we write those out in CW/CCW order (for exterior/interior). GML references ISO 19107 that specifies CCW/CW, so we serialize in that winding order.
Having hand generated all this GML data the first time around, I reserve the right to modify it for the tests.