We already have giretsu kuteitai in current pacific. Kutetai actually was a last ditch effort in 1944; But Another earlier paratroopers unit also existed in japanese army
Teishin Shudan
after the early blitzkrieg succes of germany and good falschimjager performances, japanese copied german paratroopers and created this special attack forces.
they saw combat in indonesia , burma, invasion of philipines and later retaking of philipines 1944
they should not be confused with Rikusentai and Kutetai, they were seperate units
edit: you ptobably ask “why the hell 1 army have 3 seperate paratrooper units”. well thats another nasty story about japanese army during ww2
they actually had type 2 terra rifle which we dont have in current pacific but giving them bolties meanwhile giving other paratroopers smgs or powerfull assaulr rifles seems too unfair