Let's say there are two, three, or more drivers in a car, going on a really
LOOOOOOONG road trip, say 16 to 72 hours of actual rolling-wheels time.
Obviously, they can drive or sleep in shifts and run non-stop (except for
fuel, food, restroom stops, and points of interest along the way).
My question:  Is it good, bad, or no difference to the car to run a trip in
this non-stop manner?

Does this increase, reduce, or have no effect on potential breakdowns, or
problems of any kind (I'm talking about the car!)?

It is well known (true?) that the really short day trips around town can be
considered heavy duty cycle because the car never really warms up properly.
However, once you've gone some distance at a half decent speed, (obviously
we are not talking about my home town of Los Angeles!),
everything should be warmed up and the engine thermostat kicks in, so then
the engine temperature should be pretty steady.
This brings up the added questions:
Do stops long enough to begin engine cool down, make things worse or have
little/no effect?
Would the climate of the trip (desert, snow, whatever?) make any difference
to the car (presume proper pre-trip preparation)?

I actually have such a trip planned for later this year, where the drive
time is excessive and the climates will be at many extremes of heat (desert)
and cold (snow), dry and wet.
So, I am not asking out of simple curiosity.

TIA,
Bob