Both segments feature an adult member of the Green family laughing evilly.
The plot of "Rat Tail" uses the same structure as "Hiya Henry", with one of the Green kids getting something which another Green family member dislikes but refuses to admit.
While in the kitchen, Gramma shouts "blort", which is a cuss word in the show's universe as shown in "Bleeped". This time though, she does it out of the kids' earshot so Cricket does not pick it up.
This aired on the same day as the first part of The Owl House (2020) finale three-parter, "Thanks to Them".
Moral for Rat Tail: Nancy learned to not bottle up her hatred of something another person has and just because she dislikes something of Cricket's doesn't mean he doesn't like her anymore.