Now that Iv seen replays, food is everybodys lowest priority. In fact, a lot of players would prefer to sacrifice their troops on a suicide mission rather then give them a bite to eat. That, to me, indicates that there is a problem with how food is used and seen.
Well, I think you might have seen games from older releases in which the starting citizens (which you are given at start) didn't become hungry until ~32 minutes into the game. Now it is decreased to ~18-19 minutes. Food is never the lowest priority, although you might see many good players managing their city like dancing on the edge of the razor, I mean that their inns are always empty. If it was, we would fail to spam in peacetime (and ofc after peacetime) since our citizens become hungry, then they stop working and can't be replaced until he dies or gets food. It means much of wasted time, sometimes costs over 10 soldiers/building. For me, my weapon blacksmith is usually hungry, that often costs me 7-8 swordfighters, because he can't smith swords for them. It is really not the lowest priority, we always expand our food production to 2-3 butcheries, 0-2 mills and some vineyards after peacetime, but there is usually no time and resource (timber for vinefields) to do so in the first hour.
The other thing: Our troops usually get hungry about 1:21 (1 hour 21 minutes), this is the usual time of the all-in rush attacks. At that time, you rather sacrifice all your troops on a crazy rush through the enemies' towers just to "benefit" from your soldiers. This is just because you can't have that amount of food to feed 60-70, or even 100+ soldiers (at once, at that time). Many times these succeed to get past the frontlines, and wins the game, but of course it needs much of teamwork. Well, I went too much offtopic, so back ontopic:
Food is very important these times, the one who has no food is likely to die very soon. The games To shoutcasted (at least the first 5-6) were in (now) very old releases. Just enjoy watching the tactics shown and listen to To's tips on gameplay.