That seems to be a chief criticism of Drew, that he wasn't a Dirt Dog. I bet that if he had produced exactly the same, played the same number of games, but dove for balls more frequently, ran into walls a few more times, and slammed his helmet a few times, many Drew critics would have a different opinion of worth while with the Red Sox.
Drew sucked this year, there's no sugarcoating that. Over the first four years, however, Drew was worth his contract. Unfortunately, his contract was one year too long, which is almost always the case with long term deals.