Would in my view need large plant mass (which koi would happily eat), and small stocking level with small fish, to be able to pull off once monthly water changes.
What goes in the fish (food's) must come out, and it is this waste which work's against maintaining water quality to the degree needed by most fishes (especially those you mention).
Organic waste build's up in the aquarium and it is not unlike leaving a toilet unflushed for a week or month.
The fish try to adapt to the poor condition's but ultimately, the organic content becomes so uncomfortable, that the fish become stressed,which in turn weaken's their immune sytem, which in turn = sick fish.They are much more easliy kept healthy with weekly 35 to 50 % water changes.
Canister filter's can be cleaned once a month, but to rid the tank of the organic 's that are building up each day,,water changes each week are the way forward.