"Was the matzoh oven run by chazal?" Consider this oven temperature: Lechem Hapanim are baked two per batch (Mishanh Menahot 11:1), that's 20 X 10 tefah, 7 fingers deep (ibid 11:4, Rambam Maaseh Qorbanot 5:9), to be (kneaded and) baked in under 18 minutes- other-wise it's Hametz (Vayiqra 2:11; Mishnah ibid 5:2)