I can't think of a single reason we wouldn't just eat algae sludge or synthetic protein mash or something else. Farming is not a space- or weight- optimized process.
To be fair, people will still be people… if the sludge/protein mash can be mildly upgraded to diversity/quality comparable to MREs (not that I’ve ever had one) sure, but for long term space flight it seems plausible that the psychological/morale detriments of eating sludge every day (or any single meal for that matter) would be significant.
Isn’t there a requirement for lots of fibre in the diet as well as vitamins, protein, carbohydrates and fats. As well as the psychological effect of eating good food and not mush.
there are known knowns; there are things we know we know. We also know there are known unknowns; that is to say we know there are some things we do not know. But there are also unknown unknowns—the ones we don't know we don't know.
And now things that we know and wish that we didn’t (ie spaceship recycling)
Pee is largely recycled right now on the ISS. It's mostly water.
And nitrogen is good for growing plants - the cellulose of their structure is the ideal insoluble fibre for us. Though, cows turn it into usable sugars.
I heard someone call the ISS closed water system the infinite coffee machine. Yesterday’s coffee becomes today’s coffee.
It sounds gross but if we get good enough at it it’ll work.
Like any settlement on a frontier the first people in space aren’t going to eat well. They’ll survive. After a long time I imagine we will get good at growing and manufacturing food up there. It’s honestly not even close to the hardest problem. Full recycling and modular manufacturing for complex items is a lot harder.