I do believe Earth, Fire, and Ice Elemental scrolls work with Sparkling.
I tested it out and can confirm that none of those work together with a sparkling. When any of those three gets summoned from a scroll the sparkling despawns, and when the sparkling gets spawned again the golems despawn. If that ever worked it must have been a glitch that David fixed already.
Also isn't Lispirex a lot easier to get then Nuir? Since you don't have to cross such a dangerous area to get to her and then you have 7 already?