Craft your positioning around the context of your audience. Do your consumers really care that you are X for Y? Hell no. They want to know what benefit you are providing them and probably have never heard of the other company you are referencing. But in the context of investors who look at 20 or more pitches a day? That's a different story. You are focusing on memorable positioning and also letting them know your business model is proven and scalable.
I would worry about the interaction between employees at the corporation and the hustlers and hackers at the startup. Seems like a lot of possible jocking going on if you put it into practice.