I compare it to the "fighting stance" used in Judo/Jujitsu the position of the hands/arms is the same as in Judo, also the push/pull in Jdo mirrors what is used in karate. Kuzushi.

For me "boxing style" punching is punching and "karate style" punching is Stand-up grappling
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A man is but the product of his thoughts what he thinks, he becomes.

Ken