Nobody is going to want to pay Straw so you aren't saving money by cutting him. You could cut him for baseball reasons (he is your worst projected player) or asset retention reasons (he won't get claimed, so you can DFA him and outright him to AAA).
I don't think they will really do that, since he is the only backup CF on the 40 man. Clase/Loperfido don't seem to have the skills or instincts. But they could outright him off the 40 temporarily as a sneaky asset retention thing and give him the business explanation of "this changes nothing it's just a procedural move, you probably still break camp with us"