I agree it is a very poor name. It is not a measure of total dissolved solids. Things like sugar, for example would not be counted. I do not know the history of the name.
It also has terrible units of measure, since it gives the amount of some substance (any of several definitions are used, including NaCl, KCl, and something called 442) that gives conductivity equivalent to what is measured.
Generally, scientists normally call it conductivity and use appropriate units of measure for that measurement (microSiemens, milliSiemens, Siemens, etc.) or they give the resistivity of the water (which is 1 divided by the conductivity).