Yes! (Well, that was easy, eh?) But wait, there's more! Cetrimonium chloride plays well with surfactants, so it's a great inclusion in a conditioning shampoo (especially one for very tangly hair) and it removes silicones well, so it's a great inclusion in a clarifying shampoo (ironically).
If you're using in your shampoos, make sure it plays well with your thickening ingredients. I use Crothix at 1% to 2% in all my shampoos (that need them), and I have found that mixtures that would normally require something like 2% need only 1% because the cetrimonium chloride thickens it well. So for something like a conditioning shampoo for oily hair in which I've used the Froot Loops fragrance oil, I'd normally need 2% Crothix (even 2.5% when I don't use SCI because this thins out the surfactant mix) and I've found I only need 1%.
My suggestion is to make up your shampoo - of any sort - with the cetrimonium chloride (2% in the heated phase or cool down phase) and your fragrance or essential oil blend, and let it come to room temperature. Then test the viscosity. If you think it needs to be thicker, then use some liquid Crothix to get the viscosity you want.
So this probably isn't a good idea for those of you using glycol distearate or another thickener that requires heating until you've tried it a few times with your specific fragrance oil and see how it alters the viscosity. If you're using the heated kind of thickeners, make it up as normal with the cetrimonium chloride at 2% and make sure you use your fragrance oil. Keep really great notes, and don't stray from the amount or kind of fragrance oil you use!