Can a TDS measurement tell us what is bad TDS and what is not? Can it differentiate? Or is all TDS bad? When I say bad, maybe I mean "less ideal" or "unwanted".
The TDS (total dissolved solids) is a method, similar to the nitrate test in a way, that some hobbyists use to determine their water change schedule.
Unlike the nitrate test, which obviously tests specifically for nitrate, the TDS measures everything. It throws a blanket over the complete mix of waste that's in your water, so no, it won't give you a specific value on just one thing.
There is a correlation between the nitrate test and the TDS test, in as much that they both rise gradually between water changes.
I used to test my TDS after a water change, when it would obviously be at its lowest, I have very soft water. Then it would rise day by day as the waste built up. I discovered that an "X" reading of nitrate, typically, was equivalent, or thereabouts to a "Y" reading in TDS. Once you get a feel for it you can regulate your water changes by TDS alone, some hobbyists I know do just that.
It is worth noting that TDS measures waste on a molecular level, ie, stuff you can't see! As an example, you could have the dirtiest water imaginable, to the eye, and the TDS could be 0ppm! And the cleanest water, to the eye, could be many many hundreds ppm.
Soft clean water is very low in TDS, but hard clean water is very high in TDS. This is due to the dissolved microscopic ions of calcium etc etc, which hard water contains, but soft water doesn't, or to the same degree anyway.
A nice experiment I once did was to dissolve table salt in a cup of clean water, and in another cup throw in a load of dirt out of the garden! One was a muddy mix and the other perfectly clean, but guess which one had an off the scale TDS reading!