I don't agree completely with this. Shutters in some electronic cameras check themselves and adjust for wear, maintaining accuracy, and that's all for the good. But either type of shutter can suffer from bad lubrication or lack of lubrication, and certainly electronically controlled shutters are more susceptible to cold because their batteries are susceptible to cold. Mechanical cameras have functioned well in extreme conditions like climbing expeditions or months in Antarctica (or on the moon). Some photographers spend months in very cold, remote places to get the images they want, and still use mechanical film cameras because no batteries are needed for them to function.
I partially agree. With electronic control the entire "control" part does not need lubrication, but a problem may arise in the parts that move the cloth or blades, so electronic shutters are less dependent from lubrication, but not exempt from it (the more lubrication points, the more probabilities of something needing lubrication, it's not only yes or no).
Yes mechanical cameras can work in extreme cold or hot whether but, as far as I know, a "delubrication" is necessary. Cameras which were brought on high mountain expeditions (Himalaya, 8000m, that extreme level), were deprived of lubricants (lubricants prevents wear, basically, and in those circumstances wear is not important) because otherwise they would have had trouble working. That said, oftentimes it's "delubricated" mechanical cameras which were used, and not electronic ones, until recently.
(I recently saw a film on the first successful Nanga Parbat ascension*, the one in which Günther Messner lost his life and Rheinold Messner almost died as well. At the very end a Canon Ftb is shown as taking a self-timer picture on top of the Nanga Parbat. It's mechanical, but I found absurd that such an heavy camera would be brought up there. Every gram counts. Would like to have confirmations**).
Regarding cold, one can keep a spare battery in the pocket (and change it every now and then) or can have a battery unit in the pocket connected with wires to the camera. Clumsy but functional. Any electrician can prepare that. Some producers (Nikon, Contax) even had them in catalogue.
If I had to go skiing, and with a camera, I would prefer a mechanical camera because the fuss of the external battery is not compensated by the slight shutter imprecision. I do believe, though, that the mechanical camera would actually show some imprecision in shutter speeds. Precision gear are sensitive to temperature change. The question is always if "good enough" is enough. To me it is.
* I checked, it was the first successful ascension through the Rupal face, the third ascension that far.
** Another thing shown in the film is the use of Leica cameras which looked to be III type. The ascension was made in the Seventies. The camera had no recharge lever, it were recharged with a knob which makes me think they were III. They were probably chosen for weight reasons.