If mixing versions of the game are Limp and Burning Limp wands both considered Limp wands for the purpose of spell effects, Viagrus for example.
If using a Familiar/Spellbook that uses Limp Wands in Satanic Panic would you use burning Limp Wands onstead when the cards call for Limp Wands. Fey Ticklebottom’s cards for example