A potentiometer is actually a type rheostat, but it is really only fairly recent usage that has used rheostat for high powered wirewound adjustable resistors, and potentiometers for low power adjustable resistors. "Potentiometer" used to mean a precision instrumental resistive divider often used to compare an unknown DC voltage to a standard cell. What we now call a potentiometer used to be called a rheostat.
I think you're talking Geological time here,the term "potentiometer" or "pot" for short,used to refer to the low power devices used as,for instance,radio volume controls has been current for 80 years or more.
The precision instrument called a "Potentiometer" was never common outside Metrology Labs & Physics textbooks.
Various manufacturers,such as Marconi,AWA,Pye,Philips,STC,HP,etc have successfully used pots as variable resistors over the years.
There are many cases where extreme accuracy of the sort referred to in the linked information is not necessary.
The point is,that good designers use their own judgement as to where & when a particular technique is appropriate,rather than slavishly following the dictates of some "Guru".