There are many interesting and reasonably accurate tube emulation circuits but none that I have seen seem to address the variation of semiconductor parameters with temperature.
Oh they do.
Unless itīs the crudest of designs, parameter stability versus temperature change is taken care of.
The basic variation in a Silicon junction, which normally drops "around" 650 mV , is that it drops 2mV per Degree Centigrade rise, so if you bias a single transistor stage , with its emitter grounded, from a fixed voltage supply, you only need 2 resistors, one in base, one in collector.
In that case, yes, base voltage will change with temperature , and so will collector voltage, a lot
more, but practically no circuits are that simple: classic transistor gain stage uses 4 resistors in a way that operating parameters are quite stable:
A more complex circuit, with 2 or more transistors, in general will have "too much gain" so negative feedback is used to control gain and reduce any variation to a minimum, both DC and AC.
An Operational Amplifier goes way beyond that, no surprise as they were originally designed for precision lab and Aerospace measurements and Analog Computers.
The one area where temperature variation must be tightly controlled is in power transistor biasing; since currents and power in general are very important, but much worse, drift "the wrong way" and can easily run wild , special care must be taken for compensation.