In a big ol' tank, it's still advisable to do your regular 10 or 20% changes. It replenishes trace elements we don't normally test for but do get depleted over time. Even in a system where nutrients aren't an issue, you'll typically see corals open more and be (if nothing else, visibly) healthier.
In my old 90, I rarely did water changes and while it was a thriving and healthy system, things seemed to be "happier" (polyps more extended, better color, more benthic inverts) in the time right after a water change. Unless you plan to dose minor trace elements like strontium, iron, and the like, I would advise regular water changes to replenish these.
I have always liked the idea of constant water changes and think the ultimate effect is probably more forgiving on the inverts, a bulk 10 to 20% weekly or every other week change is still just as effective. It's more about consistency than anything else. In my new system, with a total of approximately 300 gallons, I plan on doing 10% per week (ish).
On a very fixed budget I would find doing 120 gallons a month between salt, and DI media expensive. I use a calcium reactor so many trace elements get replaced when the coral bones dissolve in reactor. Many people do water changes to help reduce nitrates and phosphates. I had to work to bring mine up from undetectable. Stability I think is the most important aspect to maintain.
You'll find alot of opinions on this, but I ulimately find that the benefits are great enough to warrant the effort and (relatively) small cost to do them.