I wouldn't count on that for established worlds near a frontier where being cut off could happen. For safety they would develop enough to feed themselves in event of war or what not. Unless they are the center of an empire...
make sense...until the protectionist policies implied run afoul of peoples that want to have it cheaper at the expense of strategic cautiousness. Your proposition mean peoples can't buy cheap imports (i.e. at dumping price from producers with huge economies of scale), forcing them to purchase expensive local products (low volume, adverse conditions).
A "strategic food program" would be possible with subsidies and/or economic inefficiency and may insure a survival diet in an emergency, but trade differential remains a good excuse (if one is needed) to justify some food trade. Of course some maniacal isolationist doctrine requiring total autarchy may prevail, but that would be red zone.
This debate have shade of the Rethe debate (my T5 land grant as Count): 26billions living "on" a desert vacuum world... (or under or above, in space habitats, tunnels, domed cities...).
When the 1% "filty richs" are 260 millions persons, there is a huge trade in luxury items, if only as status symbol (why the hell is french champagne sold in California?). When a water world and an agriworld are J2 away, vat grown local fish or meat flesh face stiff competition from imports in the market segment of a billions strong middle class that can afford some "real food" on occasions.
Short extract of my work on Rethe
MOUGHAS/Regina 2406 C A5A588 B, Ni Water world
J2 away from Rethe, this non industrial world focus on seafood production and takes Rethe’s manufactured consumer goods in exchange for sea life based food. They are often canned but regular traders take frozen cargo. The industrial world of Enope try competing against Rethe but is at a lower TL. Workshops and wet shipyards based on Moughas also buy basic materials, tools and machinery. ...
INTHE/Regina 2410 B 575776 9, Ag,
J2 away, the bread basket of Rethe and many other world within J3. It also produce whatever Crude oil is imported by Rethe. On their way in, the Large OBO bring the huge amount of nitrate and potash that its intensive agribusiness require. Rethe also sell manufactured consumer and industrial goods, including lower tech component for its mechanised agriculture.
How much food that is actually? Well, you decide for that depend of market conditions that you are free to control as the creator of your TU. That does not help much if you expect me to provide a math formula, but since those formulas are abtracting so many thing anyway, you may as well have it your way.
have fun
Selandia