In that case, it is more about balance than choosing the right species.
Most plants will remove from the water many things, so a mix of plants and a minimum of livestock will do what you want.
...'normal' salt is the end-product of these biochemical processes...
A circle has no end.
There is not an accumulation of sodium chloride in a fresh water tank.
Each molecule produced by one organism is used by another for some purpose, or simply sequestered, as plants can remove excess heavy minerals above and beyond their needs.
Here is what normally happens in a tank with too-few water changes:
Fish poop, fallen food, dead plant leaves, dead microorganisms all contribute their cells to the system.
Live macroorganisms (such as snails and worms) and microorganisms (Including fungi and bacteria) decompose these dead materials and break them down into their component molecules, usually adding more oxygen and sometimes taking some minerals out of the water as they decompose things.
The resulting molecules include ammonia and many other molecules that plants use as fertilizer. More microorganisms can also use the ammonia and other things. Specifically the nitrifying bacteria will remove the ammonia and add oxygen to it to turn it into nitrite then nitrate. These bacteria use some of the minerals in the water, and some carbonates. They do not get carbon from the dead matter; that has already been used by the first microorganisms to attack the dead matter.
Another side effect of all this is that the water becomes slightly acidic.
Net result:
1) Carbonates go down, allowing 'something else' to dictate the pH.
2) Decomposition tends to create acidic materials.
Therefore, the pH in the aquarium goes down.
In reduced pH, and especially if the carbonates are gone the nitrifying bacteria do not live very well, so they are removing less and less ammonia.
In a planted tank that specific problem is often masked by the plants removing the ammonia as a source of nitrogen.
Here is another side effect of too-few water changes:
Anything you add to the tank has minerals in it. Fish food, tap water, fertilizers, water conditioners, "aquarium salt"... read the label.
Without a way to remove them they all stay in the tank.
When water evaporates the minerals are left behind. This is very noticeable when the top off water is high in minerals, or if you are over fertilizing the tank. Excess fish food often becomes excess snails or fish (especially with live bearers).
I am not saying there is zero NaCl in this cycle, just that there are a lot more of other minerals and they are the ones you notice. "Aquarium Salt" is the only source of NaCl in enough quantity to accumulate like this. I sure hope you are not falling for the sales gimmick and adding salt to a fresh water aquarium! There are tiny traces of sodium in fish food, more than enough for that needs of a fresh water aquarium.
The best way to control this build up is to not add to it in the first place. Least minerals added means a slower build up.
Then balance the additions with removals.
The best way to export these minerals is by removing plants (trimming), remove snails and fish as they reproduce. Fast growing things (Plants and animals) incorporate into their bodies many of the minerals that you have added as fish food etc. When you prune, cull or otherwise remove the parts with those minerals you are removing those minerals from the tank.
So:
Set up a tank along whatever lines you want to call it. I do not care about the name.
You want a balance of plants and animals that will cycle through whatever you add to the tank so the plants and animals are thriving.
Use a good quality substrate. High CEC. This will trap a lot of minerals that the plants need, so they have a steady supply of what they need. This means the plants will grow strongly.
Have some faster growing plants. These will use up the excess minerals and you can export those minerals every time you prune.
Have good light so the plants have the energy to grow well.
Supply plant food as fish food, minerals that are deep under the substrate, and water column fertilizers. Be careful adding these to be sure they are added in something close to what the plants use.
Think of the fish as 'Fish Food Primary Decomposers'. They are the first in the line of organisms that are turning fish food into plant fertilizers. Only stock the fish you need to do that job. Do not overstock. Think of algae eating fish as 'Algae Recyclers'. Their job is to remove enough algae that the tank looks presentable, and turn algae into food for single celled organisms that will in turn make plant fertilizer out of it.
Think about each and every element that plants and animals need to live.
Provide each element in the best form for each organism.
Do not provide extreme excess of any of these.
Do water changes as part of the removal strategy.