I don't use any stabilizer for machine applique, in my opinion once it's quilted, it's stabilized enough.
The only instance I can imagine *needing* to use a stabilizer is if you were doing a really thick, heavy satin stitch around your appliques, which I dislike, so I don't do that kind of stitch. For applique I utilize one of the following stitches/methods: zigzag, buttonhole, needle-turn, reverse applique, or the starch/freezer paper method.