How many blocks away will farmer villagers without a village farm?
Minecraft 1.16.3:
The farmer with inventory filled with carrots and potatoes got a composter in the middle of fully grown wheat field; random tick speed set to zero so that he wouldn't harvest the carrots and potatoes. Afterwards, the game has been tick-warped for 72 hours equivalent - in the latter half the villager would no longer replant anything. Afterwards, I added the diorite blocks to help measure the distance.
This is the pattern produced:
So, the harvested area is approximately a diamond with taxicab distance radius of 9.