Besides I doubt that Brûlée and the rest of the BMP would have looked down on Kid like that if he managed to inflict such an injury on one of their SC.
But do we even know which Sweet commander attack Kid and also who back him up?
Something like we see in Whole Cake island didn´t really happen everytime, mosttime the Sweet commanders probably attacking with their own fleet without having minsters as back up. When Snack was defeat, then the whole Enraged Army coming after Urouge ass.
They totally underestimated the supernovas because of the previous events, so do we even know if Brulee was in first place in the battle with Kid? We know how the much fear the childrens have from Big mom, what is if the Sweet commander didn´t even tell everybody about his lose/almost defeat? He can say that he defeat Kid but he run away without even taking something back.
In my opinion it doesn´t make anysense for Oda to hype up the event without even having something as back up for this stuff. Oda mentionend the injurie of the sweet commander for some reason. Since Snack was Urouge hype, Cracker/Katakuri for Luffy, what would speak against Smoothie beeing the hype for Kid?
He is the currently only supernova with CoC and also equal rival to Luffy, he growing up in power in that way make more sense. Smoothie didn´t lose hype because losing against Kid, it make only Kid far stronger and give him a lot of hype.
To be fair I mentionend Smoothie, but it can be also Snack or Cracker, all three are in my list for getting almost defeated by Kid.
Wouldn´t be surprise if Kid even mentioned that when he see Big mom and her crew again, since Cracker and Katakuri aren´t right now with Big mom in wano, it make more sense if the sweet commander back then who get injured by Kid, it right now either Snack or Smoothie.
Hold this possible for the future in your mind, I wouldn´t surprise if Kid get even more hype by Oda.