Infantry actually needs longer spears. If you look at the Sturgian Short Spear (174 reach), it's not nearly long enough to collide with the head of a horse before a horseman's long spear hits you. For reference, the shortest spear for light cavalry is the Battanian Long Spear, which has a reach of 193.INFANTRY A SHORTER SPEAR SO THE CAN ACUALLY DO SMTH WITH IT
I think 180 reach is the bare minimum for stabbing a light cavalry (Vlandian Spear, Voulgier). Even then, you need a shield since the two-handed grip shortens your spear's reach.
Kinda why I think the Recruit should have a one-handed pitchfork (+ 3 javelins) instead of the Pila, but that might actually make the Imperial peasant good. And we can't have that.