So Purple Flames? If you didn't know fire is my favorite element. Since it's known that Toya's Blueflame (formerly called Cremeation as it's unofficial title) is a stronger version of Endeavor's Hellflame. Since in Episode 30 it's known that Hellflame can turn blue. Is it possible that Hellflame can turn purple? Most people say that Blue flames are the hottest flame color. But their wrong as it turns out purple flames are even hotter than blue. Purple flames burn up to 39400Ā°C (71000Ā°F) that's hotter than blue flames. It's known that Burnin has an unnamed fire based quirk. Which was later revealeded in the anime to be called Blazing Hair, which is Green fire. Though I don't know what it does in the anime and I haven't really seen it in the manga. I don't really know if Shoto could turn the flames into a different color in his Half-Cold Half-Hot quirk. It is known that Hisashi Midoriya, Izuku's dad has a Fire Breath quirk. Though we have not seen it in action yet, even we might will in the future. If Hisashi can use his fire breath to change color, then I guess I can say that's possible.
If there is a quirk that ignites with purple flames than I will call it the strongest version of Hellflame. Since it's known that Doctor Kyudai Garaki can create copies of people's quirks. I could say that if Blueflame and Hellflame were to mix and combine there could be a quirk that is the strongest version of Hellflame. If Kyudai copied Toya and Enji's quirk and combined them together there could be a quirk that has purple flames. I'm not really sure what to call it but I'll allow people to have a fan made name for it. I'm also not sure what Toya's Blueflame quirk official name would be. I'm not sure how Horikoshi would name it.
After much consideration I decided to called this quirk Purpleflame. Like how Toya's quirk is called Blueflame I decide to called this made up quirk to be called Purpleflame.