I don't recall the exact numbers -- Harvey Cohen, who often posts on rec.gambling.blackjack, has done extensive research on this question, for a variety of games. Roughly (maybe someone will chime in with better numbers), for single deck, you get about 30-35% of your edge from strategy deviation, and for 6 deck, it is in the 10-12% range. Thus, strategy variation is essential to master for single deck, but for shoe games, you can get by with a huge bet spread (or wonging) and basic strategy.
--Mayor