The Panther comment wasn't related to Tavern Brawler. It's an observation with how Pounce doesn't give you an extra attack.

Tavern Brawler states:
*Increase your Strength or Constitution by 1, to a maximum of 20.
*When you make an unarmed attack, use an improvised weapon, or throw something, your strength modifier is added twice to the damage and Attack Rolls.

It seems misleading.