Xtals are responsive to temp.
Some xtals are relatively insensitive to temp changes.
Some xtals that are placed in ovens are very stable
in a specific temp range.
Some xtals are very sensitive to temp and temp is used to control the freq of the xtal, this is the case I was describing. The temp has to be very stable.
I was just using this as an example of how stable the temp control can be with a relatively simple heater arrangement, using a Mosfet as the main heater. And trying to describe the heater control even though I have no schematics (too bad).
When I repaired the surface control board, I found out that the surrounding caps and resistors took the "band bang" out of the response, and I ended up with a pretty stable "control" voltage for the heater, after it got up to operating temp.
I damaged the control board with a bad PS arrangement, this was my fault. So I fixed it. It was somewhat problematic taking the xtal heater can apart for the repair. HA!
The heater (mosfet) is controlled by an Op AMP and the input from a heat sensitive resistor. There is a resistor, actually three 3 ohm
resistors in parallel to ground on the Mosfer output to ground. There is also a big cap there. And other caps on the input and output leads of the op amp. All surface mount, cannot see all the markings.
The caps tend to even out the heating voltage.
I think it depends on how the xtal is cut from the xtal block. The way they are grown and cut determines the properties of the xtal
Wikipedia has an article, more than I ever wanted to know.