They are.
Yes. The Maroczy Bind actually illustrates this as well. c4 and e4 control d5. Nb1c3 will also control d5. After exchanging the d2 pawn, the rook on d1 will both cover d3, d4, AND d5.Let me give an example. Consider e4, with pawns on d3 and f3. That square is going to be stronger (less weak) than one which is only supported by d3. Then factor in all the pieces defending that square, and you have a monster strong square!
Of course it's more granular than a square just being weak or not, I agree.I would be interested if you agree with the above, that the official definition of weak is just a binary "weak or not" distinction, altogether different from reality where things are a lot more granular.
The definition "A square is weak when it can never be defended by a pawn" highlights the fact that you have to defend it with something else; at least a knight or a bishop. It just means you will have to keep an eye on such a square, and be ready to defend it if you need to.
If you had a pawn pointing at that square, it would not be weak, especially if the opponent didn't have his own pawn to attack it. The reason why a square is strong when defended by a pawn is that the opponent can't put a piece on it without losing it immediately. (Barring special circumstances such as pins or tactical shots.)
"A square is weak when it can never be defended by a pawn" is just one of the many thumb rules of chess. It's true MOST of the time, but there are positions where this rule, while true, just doesn't have a lot of impact anymore because of the state of the rest of the board.
How you weigh the importance of all the thumb rules in any given position, in combination with how far you can look ahead, determines how strong you are at chess. You could have read 500 books and still play at 1200 level. You could also read a sheet of A4 with the most important thumb rules listed, and be able to weigh them perfectly, 12 moves into the future. That's how a 14 year old grandmaster is made. Not by reading 500 books (you can't at 14), but by being able to weigh the importance of a lot of the rules lots of moves into the future.