Well, there are certainly different definitions and business models for "prop" traders. There is a mountain of difference between the equity firm prop model that takes a deposit, versus the Chicago futures prop firm business model. In fact, the CME will not allow electronic member firms to take an initial trader capital deposit - the trader must get paid on a W-2, and only the firm's capital must be at risk.
Headhunters and firms tell me that these days nobody wants to take on directional risk - they want an arbitrage or a spread or some sort of hedged relative value strategy. There is money to put to work, but it is scared money.