My color shifts from application to application, but thats unavoidable, right?
No. It’s not unavoidable. In fact it absolutely is avoidable. It’s possible to get from Corel Draw to Photoshop to your RIP, for instance, and keep the color exactly the same throughout. Not only the same but appearing the same on your screen as well. Getting control of color at its inception and keeping control of it until print time is the actuality of true color management.