I guess that's why the book (our book anyway) states that decrabbing should be done before the flare.
Yes indeed, a very sensible way to fly this machine, the autothrottles compensate for cross-control drag induced airspeed decay by increasing thrust. Another technique is to enter additional knotage into the FMC, above that determined by the tower wind formula, giving added energy protection.
Some of our IP’s teaching crosswind landings in the Mad Dog have had students straighten out at 500 feet, a very visceral, butt-in-trousers demonstration of required control input for a given wind condition.
Book or no, though, legislating technique into SOP is an industry practice often fraught with misinformed opinion.