Lol no, AE86s are both fixed and pop up and these designation are used for different engine/chassis. The AE86 gets 1.6L 4A-GE, meanwhile AE85 gets the weaker 1.5L 3S-GE.
The difference between pop-up and not pop-up variants is in model: Corolla levin 85/86 doesn't have pop up headlights and
Sprinter trueno 85/86 has them