Though these characters are obvious nods to Punk Frogs, they are never referred to as such in-story, neither are they referred to by their individual names in-story. In their character sheet, they are referred to as "The Frogs," though the first one is named "Punk."
These are the first Punk Frogs that aren't related to the original Punk Frogs, due to the names and appearances. These frogs are named after genres of rock music.
The primary universe's Punk Frogs are referenced, only by name, later in Teenage Mutant Ninja Turtles #110, as one of the factions living in Mutant Town. When asked, newer head writer Sophie Campbell said that she had never read either of the Teenage Mutant Ninja Turtles/Ghostbusters miniseries and was unaware of the (Punk) Frogs who had appeared in it. But seeing as these characters appeared in a parallel universe anyway, she stated that if the primary universe's Punk Frogs do appear in person, they will probably have different designs and names unrelated to these Frogs.