Actually, a planted tank can need water changes as much as the fish. This is especially true if one adds fertilizers for their plants. Not everything in a fertilizer may be needed by plants. They may need some things in lesser quantities than is supplied by what we add. So, of the plants do not use them, they will build up if we do not do regular water changes.
I have planted tanks where I have no fish for a while. I dose ammonia in them to feed the bacteria and because the plants will use it also. I still add ferts, but usually the not nitrogen ones. And I also do water changes on them.
Tanks are closed systems and they will end up with too little and too much of things if we do no water changes. Think of a 50% weekly water change as resetting the balance of almost everything in the tank back to normal levels.
Unless one is a real plant nerd and runs a more high tech type of tank, it is a lot less work to dose ferts weekly after a the water change than to work on the tank more frequently and to dose the individual ferts instead of a more comprehensive fertilizer less often.
But weekly water changes are the easiest way to insure things are neither lacking nor building up. Unless one's tap water is causing issues in this respect, I would go with the weekly change planted or not.
I ran a high tech planted wank with pressurized CO2 and regular fertilizing for almost a decade. I gave it up because that tank required way to much of my time than my other tanks. But then I had 20 total and 13 planted but only that one with CO2 etc. I plant heaily for the most part but use low to medium light plants which makes my life a lot easier.
Of course each of us must decide how we want to do any given tank, What matters is that any tank remains healthy and not overly demanding as we increase the number of tanks we have.
I believe that the more heavily planted any tank is, the more it needs weekly changes.