The old me is gone; dead and buried.Paul is saying that he is no longer controlled by the needs of his body because it is through those needs that desire drags him out of his place of contentment, giving birth to sin, as James puts it. Paul is saying that he is not unaware of his body's needs, but that the weight given to the consideration of those needs is nil.
"Every competitor exercises self-control in all respects. They do it to receive a perishable crown, but we do it to receive an imperishable one. 26 So I run in this way—not aimlessly. So I box in this way—not beating the air. 27 Rather, I punish my body and bring it into submission, so that after I have preached to others, I myself will not be disqualified."
1 Corinthians 9:25-27 TLV
It can be said to be true in some ways.
Yes, we are warned about arguing about words. It only is strife and destroys those who observe us.
It is more that the expression you have used is saying something different than the doctrine you are promoting. To say that the body has been destroyed means that it no longer functions, but the doctrine teaches that the body is a vessel that functions to the glory of God. Only, it is the desires of the flesh that have been brought to nothing because it is they that war against the desires of the spirit. The flesh is not synonymous with the body, and the annulment of it is not synonymous with the destruction of it. Look, I have shown you the original word used by Jesus to speak of destruction, and it is not the same as the word used by Paul for the annulment of the body. Why is Paul not saying that the body has been destroyed?
I have been raised with Christ as a new creature.
As the words destroy and annul are synonymous, further discussion of it isn't necessary.