There's one guide here that tells you eggs are the solution to everything and another that tells you everything that is not red meat is useless. No hard feelings towards the latter guide, its a great guide overall, but everything else being useless is not something i accept without my own research.

I have added a screenshot of my excel file with the data.
I will try to explain what i did there.

In the first section called "primary resources" i manually entered the values of how many of those resources are produced per pipturn. I chose 6 for water and 7 for wood because those are my typical values after mid game. If of course water has to come from mountain springs, that number will be significantly lower. That would benefit both the egg stew and the BBQ chicken as those are the foods that don't use water. You also see seeds here, which have a value of 3 as you get 3 from the forager. Using the seed extractor could increase this value to 6.6 (1/3 PT used for the fruit and 1 for the process itself to produce 10 seeds). This would benefit every food except BBQ chicken, but the effects are only moderate. One might intuitively expect a great effect on egg stew, but it merely increases the final value of both "1farm & 12 chicken" and "2 farm & 6 chicken" to 7.1 Much of the labor goes into the cauldrons after all and the seed productions is not that significant.

In the second and third sections i have calculated the pip efficiency of fruits and veggies. Seems straightforward to me. Again, you could adjust water or seeds and see the difference if only i could be bothered to upload the file itself. The effects again are not earth shattering at all.

The other 4 sections are where it gets interesting. You see the BBQ chicken range from 3.3 to 7.7 food per pipturn depending on the tier levels of the involced buildings. Note that a T2 hunter may need multiple huts for 1 pip. If you have 3 wild chicken (whats their name again?) spread over the map, you bulid a hut at each and the hunter will move from hut to hut as he depletes the supply at each.

For red stew (its glop i know, but in my head its stew, so wherever you see stew, you may translate into glop) you see some differences in the meat supply setup. I assumed 2 pigs per pigsty minus the one taken by the buncher/slaughter. That way the pigsties always stay active and 1 guy simply replaces the pig where it was taken. The efficiency here ranges from 7.8 to 9.9 food per pipturn.

For bread i have only 1 option. It is simple enough to have 4 fields around a mill, so that is assumed. So bread produces 9.9 bread per pipturn.

For egg stew there are multiple options in chicken and farm setup. The best setup seems to be 2 farms and 2 chicken pens interlocked. It maxes out at 6.7 food per pipturn.

Veggies score only 4 food per pipturn which means 1/4th of your population needs to be working food.

Fruits fare better at 6 food per pipturn, but are not always available.

BBQ chicken only really competes when a T2 BBQ is involved. That means you need copper. By the time you have copper, you can also have cauldrons and thus all options are available. That does indeed make BBQ chicken a poor food chain. I guess the advantage of this chain is that it is relatively easy to set up.

Red meat stew at best scores exactly the same efficiency as bread. Bread however has 2 advantages:
1: It does not need copper
2: It is a lttle more seasonally reliable.
Point one can be considered minor i suppose. Point 2 depends on what fruit trees you have available. If you can only harvest fruits in a single season, you will have to stockpile it for the other 3 seasons. Depending on your population it probably means you will have to build warehouses. Especially in the first year it might be a pain to get those stocked sufficiently. Bread doesn't have this problem. You only need to stock for 1 season. Does that mean bread is the big winner ? Not necessarily. I haven't done the math yet on bourgeois foods, but on first sight, soft bread seems a clear loser to steak. So thats a point up for the red meat industry. I'd call it a tossup between the 2 where your choice depends on the situation and your needs.

Finally we have of course those eggs that are supposed to solve world hunger. A much higher efficiency than i calculated surely is possible if like the guy did in his guide, you produce eggs for 700 something people. The numbers i used in my calculations are for up to 12 eggs which turns into 120 stew. That should be a good and sufficient end game number. The efficiency here is lower. Thats the tradeoff you pay for being able to produce the food all year trough. If that is a trade off you should make, i am not going to tell you. Note however that it is not merely just convenience. It also means you don't have to stock up on large amounts of fruits or barley. Stocking up is also a drain on efficiency as those pipturns invested in that foodstock is doing nothing while it could be doing something helping you grow.

So in the end, it's all rather balanced. Except maybe BBQ chicken.

There are of course countless other options that i didn't explore in this guide yet. There are some more recipes in the cauldron and slaighterhouse. A bunch of which i did not yet unlock. I think the above are the main lines though.