I see a window, so presumably it is an outside wall. With the cost of energy these days you may wish to consider insulating the outside walls to reduce both heating and cooling needs.
If it’s an old French maison secondaire, particulalrly if in southern France(?) I don’t think that would be aesthetically desirable, nor possibly even very useful. Our stone house in the Lot Valley is about about 600 years old, but is warm in winter and cool in the summer
Some stone walls are better than others regarding heat transfer due to variances in the type of stone used, but they all benefit from being insulated to reduce said effect.
Having the stonework visible inside and out is just fine, if one is willing and able to pay the cost of having it look visually appealing.
I have a colleague with a house in the Lot, where by my recollection it can be stinking hot in summer and decidedly cold in winter. I also fully realise that different folks find different temperatures preferable inside their homes, and that most folks who come into our home remark how warm it is. (I come from a family of skinny blokes and find anything less than 21 deg during the day too cool for comfort.)