Yes, you are.
To be fair, when we bought my wife's '01 Lumina two years ago, the cooling system was squeaky-clean. It had the original Dexcool in it, and it looked great. At the time, the car was 4 years old, with 159,000 miles.
Of course, the intake gaskets were starting to leak (due IN PART to the Dexcool). I immediately fixed that, flushed the system, and refilled with G05.
But it's been my experience with Dexcool systems that if all conditions are perfect, nothing keeps a cooling system cleaner than Dexcool. Except for some well-known seal compatibility issues with Dexcool's main corrosion inhibitor, 2EHA, Dexcool works quite well as long as the cooling system is in perfect condition. So long as you don't mind certain gaskets being chemically attacked, and your cooling system never even THINKS about a minor leak, overheating, or the addition of any coolant that isn't Dexcool... you might just be ok.
In the real world, though, cooling systems ain't always perfect. I've seen GM vehicles less than two years old, with less than 50k miles that already had Dex-sludge. There probably was a minor leak, allowing air to enter the system... and one could SAY that therefore it wasn't caused by Dexcool. But the fact is, NO OTHER MODERN COOLANT will turn into this nasty sludge at the drop of a hat... at least I've never seen anything but Dexcool do it. Add to this the fact that Dexcool CAUSES some gaskets to leak- creating the conditions required to turn Dexcool into dex-sludge- and you can see why I wouldn't run Dexcool in my own vehicle if the stuff was free.