my results are pretty much the same as yours as we got the same controller (logitech rumblepad 2, mine is the wired version)
except i noticed when pressing up/down on the 4point thingy(first 2 rows) the tester keeps registring up/down untill you press something else. left&right are safe
value's in sdl mode:
-32257 <-> 31986 (left right with non analog stick, the 4point thingy)
-32257 <-> 31986 (up and down)
as for the analog(3th and 4th row) , same as yours