Two things to consider when doing this -
1. Is your luggage at or under 50 lbs? I've seen so many travelers have the worst time ripping through the clear wrap, because they have one bag weigh 51 lbs, and the other weigh 47 lbs, so rather than pay the $75- overage fee, they'll transfer items to the lighter bag. All that does it take up precious time you may need getting through the TSA security check, or getting to your gate on time.
2. Is there an item TSA may even suspect shouldn't be in your luggage? A 10 oz container of liquid, what LOOKS like a lithium battery/device, et c? This will cause them not only to remove the wrap, but may delay your bag and arrive in destination on a later flight.
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