Caseoh's 53 Kill run is listed as a small axe run when he was using a long axe, is this a mistake or no?

No..? He was using smallaxe. https://www.speedrun.com/HalfSwordPlaytest/runs/y8ovd5dm

i can confirm this because i did my absolutely insane 125 run mainly to beat case

but i did do it for other reasons such as bragging about it to my friends