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Shotly: AoE3 means 3 square randomly spread from initial square. So, not all "hit" reach the same square in front of your infantry. Some hit in back, or in lleft or any other diretion. So it is easely possible, that only 1-2 hit per raund in square on front of your infantry.
Heat(6) is much more likely to struck enemys in front, but still not guaranty...
In any case - heat and cold aura still very strong. And really, if anybody fight vs solid line of "auras" infantry in melee without certain resist - they are almost alltime go unconscious in few rounds.
Anyway, assuming that is correct, that would mean that Heat(3) only affects 2 nearby squares. Heat(6) would affect 5 and is thus a dramatic improvement. Note that even Heat(9) would not be guaranteed to hit all neighboring squares (distance 1), because it is likely to select some more distant squares instead (distance 2+).
Heat fatigue doesn't help much against militia types (maybe it can set them on fire and produce a rout). It can do a lot against high morale heavy infantry though.