While I'm intrigued by the issue you brought up, so thanks for asking and thanks for the replies, I'd say your reasoning of a closed "balanced" system really isn't true. Tides in an ocean environment create natural water changes. So while creatures may thrive in the same bay or on the same reef spot for years, the water around them naturally rolls over due to wave action and tide changes. In addition, the pure number of organisms that balance with one another is huge compared to a closed system aquarium of any size. As a human, don't put me in a house, seal it completely from any new air, place a bunch of plants in hopes they take my CO2 and give me enough clean air, a small water treatment plant for my waste and drinking water and expect me to live very long. Yes, a large system like the bio-sphere may be possible, but I would bet the reality of that environment is that there are a lot of mechanical and artificial things in place to make the environment sustainable, more than what our simple pumps, filters and devices can do to replicate an ocean. So while some may be successful with no water changes, I'd have to guess that's not the norm and many more who have attempted that approach have failed than succeeded.
As to your comment about only having 5 gallon buckets, I'm with ya on that one. My solution, like many, was to go get a 35 gallon Rubbermaid Brute trash can from Lowes. That way I can mix at least 20 gallons at a time. I simply put a Hydor powerhead in there with a 200 watt heater so I can circulate and heat the water when I'm about ready to add it and while mixing. I have my container on some scrap wood pieces in my basement that makes it high enough so I could add a small hole on the side for a sipgot to drain the water into my bucket to take to the tank one at a time. It's not too bad and I have a flight of stairs to contend with. All total, my container, power head, heater and bulkhead for the drain cost around $100.
"An ounce of prevention is worth a pound of cure!"