The way I understand it historically this is what Tai Chi was always meant to be. It's just that this isn't how it's usually practiced in the western world. I know my teacher has been getting into Chen Style Tai Chi and he describes it as extremely explosive and combat-oriented. I don't know much about it personally, but judging from how explosive his kung fu is I don't doubt him for a minute. Yes, this does sound like Tai Chi to me, I just wish you saw it practiced this way more often.
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