I would be inclined to think that Cavalry School might get the upper hand on the Reform Commission if it is populated by the MC, Welles, Palliser and Lord Marcus Havenport. I imagine the Castermaine and the Brigadier Generals might support the infantry school.
As far as future war plan goes, I’ve been working on Plan M where A Tierran Expeditionary Force returns to Antar in a preemptive war against Khorobirit 12 years down the line. Khorobirit has invested 15-20 regiments of line. My plan to confront that threat using the Infantry School method would be 1) Standardize to the common foot soldier and light cavalry trooper. 2) Invest heavily in the Garing rifle and GGT new cannon as a force multiplier. 3) Create Demi-brigade sized squares that Hussars couldn’t break. 4) Pound them with the artilery then use your light cavalry mop up. 6) Add additional officers by staffing Grenadier Square with bane blood ladies. Allow male baneless to be officer in artillery and infantry regiments.