The other thing that I noticed about your list is that it implies non-reading drummers.
I didn't mean to imply non-reading or reading but I think it helps if a musician is capable of reading music. It just makes him or her play a little more(for lack of a better word) professional; at least in the timing aspect of playing.
I know a number of musicians that play very well and know their instrument from one end to the other but they do lack in their timing at times. Like a fiddle player that plays very well but when picking the notes he sometimes try to get all the notes into one measure. LOL! I guess being a drummer I would notice that a little more than some others.
Although out of practice I can read; I just feel it helps individuals feel more in control while performing and understanding what they are really doing.