@sophiecentaur - Yes, average temps are the same. No, daily high low temps are not the same.
I am going to map your comment to a real world environment.
Please see the fuzzy plant picture of Tillandsia tectorum-
https://mountaincrestgardens.com/air-plant-tillandsia-tectorum-ecuador-medium-4/
Cute huh? They can survive in a high humidity house for long periods without water. Hence the name "air plant". The best part is you cannot tell when you've killed them by not spritzing them often enough. Perfect for my house.
These Andean plants are epiphytes and occur in the Puna (Altiplano) region above ~3500m. They are fully dependent on 24 hour days with fairly equal day/night durations -12 hours - throughout the year:
The lowest daily temperature is generally below frost and occurs at about 5:00 am local time.
The highest temperature is at about 3:00pm and is about 25° C.
So we can take 12°C as the average.
Almost no precipitation.
Virtually all of the plant species high up there are fuzzy (not a botanical term) because that is how they get moisture. Fog does not go up that high, although there can be a few minutes when a foggy haze forms as the frost melts and evaporates.
Frost forms pre-dawn. When the sun first hits the fuzz, it melts and drips off the fuzz onto the ground or accumulates on special spongy tissues on those weird leaves. This is these plants sole form of water input. This view is simplified a bit. There are other species of gigantic plants up there that really drip a lot.
My contention is: a 6 hour day would have an average 12°C as well. But it would not get cold enough at night to freeze water. 6 hours is not long enough for radiative cooling to do that. The fuzzy things would not have evolved. Maybe: The plants would have evolved drip tips instead. But even lower temperatures squeeze more water out of the air. Who knows, it may have just been lichen covered rocks that survive.
This is just a very localized example. Kind of like your motivation: heating a dwelling.
I do not know how shorter radiative day/night duration would affect meteorology. Diurnal period and relative temperature max/min changes definitely affect extant living things.