If you find that your mind only seizes on these labels as excuses to relapse, then by all means stay away from them. Studies have found no strong correlation between the use of these labels and success at recovery. It's your choice. There should be no pressure to conform one way or the other. Do whichever works best for you to stay abstinent.
Many people find it tremendously helpful in staying clean and sober.
Others find it a wonderful rationale for chronic relapse. By all means adopt the disease model if it helps you stay abstinent. But if you find that the disease model mainly supplies your mind with rationalizations to slip and slide, then dump it and think of yourself instead as having made bad choices in the past, and making better choices today. Whatever theory works for you to get there and stay there is a good theory. You can always revisit the issue later.