It can't hurt,

By the time it comes to a wrestling match, it is legal for self defense "in the gravest extreme".
I'm not about to square off with some clown to "settle it like men".
What I know about hand fighting I learned a long time ago, it still works, because anatomy hasn't changed, and nothing I learned involved high kicks, spins or referees.

Yes, "they" do require me to go through some exercises and motions that are martial arts stuff, but no one in the field ever uses it. (Speaking here about my field, not anyone else's). It keeps me limber, so that's good.
The training with a blue gun, a heavy bag and another man are good for "getting loose" so I can either get away, or reach a weapon.

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Halfway and one more step