PostGIS - Area inside or outside w.r.t. a polygon

Question

I need to check if a specific point belongs to the area defined by a polygon on a map using PostGIS. How can I specify if the area to be considered is either the one "inside" the polygon, or the one "outside" the polygon?

I thought that the order of vertices could matter, depending on the way in which vertices are listed: clockwise or counter-clockwise. But with both expressions of the polygon I get always the same result. To test, I tried to check if the points (15 15) and (50 50) belong to the areas obtained from the square (0 0, 0 30, 30 30, 30 0, 0 0), giving the vertices in two orders, as in this code:

SELECT ST_AsText(point), name
FROM 
  (SELECT 
       'CW' as name, 
       ST_GeomFromText('polygon((0 0, 0 30, 30 30, 30 0, 0 0))', 4326) g
  UNION ALL
  SELECT
      'CCW' as name, 
       ST_GeomFromText('polygon((0 0, 30 0, 30 30, 0 30, 0 0))', 4326) g
  ) shapes
CROSS JOIN
  (SELECT ST_GeomFromText('point(15 15)', 4326) point
   UNION ALL
   SELECT ST_GeomFromText('point(50 50)', 4326) point
  ) points
WHERE ST_Within(point,G)

Eventually, the point (15 15) belongs to both the squares CW and CCW, while the point (50 50) doesn't belong to any of the two.

I cannot use ST_Intersects or ST_Disjoint depending on the polygon, because I have hundreds of footprints with very irregular shape (i.e., the footprints came from the products of the Sentinel mission S1, S2, ecc. of Copernicus portal of ESA), and I need a general criteria.

Is there a way to let vertices order matter?