Give unarmed strike grapple mastery? (And give it to monks)

Should unarmed strike get a grapple mastery?

I.e.
If you hit a creature with this weapon, you can force the creature to make a saving throw with a DC equal to 8+your Proficiency Bonus+the ability modifier you used to make the attack roll. On a failed save, the creature is Grappled by you.

Obviously this will affect monks the most. But then they can drag enemies around with their high speed.
Possibly add in a throw or something for them at some point or as a subclass.

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