I know it is hard to remember what all the different "___istors" do, but this information IS available, no need to recycle bad information.
A VARistor is pretty much a hundred teeny spark-gaps, made by pressing a high temperature powder together. It acts "instantly" for all audio purposes; spark-gap breakdown is very fast. It is NOT very temperature sensitive, heating would not be a good control method.
A THERMistor is a temperature sensitive resistor. It could be used for audio gain control. They are made in both positive and negative temperature coefficients. They can give a very wide change of resistance for a small change of temperature. They can be used "self-heating": this is a problem in temperature control applications (the measurement current changes the temperature you are trying to read) but can give a self-acting audio AGC with just two parts (and some spare gain). Disadvantage is that they can not be made to a precision value, you will usually need to trim a resistor, and of course any temperature effect is a problem for non-studio work, such as sound for Ice Festival or Desert Race.
The last "new" variable gain cells were chips, both transistor-bridge and analog switches.
Unless you go with the DBX/THAT chips, most of the best techniques are the oldest techniques. As Narma says in CJ's interview, most tubes have too MUCH gain and too stable. Photo-resistors are useful, but modern burner-safety LDRs do not have the long tail of decay that the early ones did, which made the LA2a so sweet.