From my experience with two neighboring ISS stations that I monitor to compare to mine, it definitely can make a big difference as far as the heat up, cool down, max, and min temperatures. Some of these differences are due to the type of surface under the ISS and the openness or sheltering nature of surrounding structures or vegetation.
My station is 6 feet up over native brushy vegetation and bouldery soil. One of the other stations is about 10-12 feet up over an unknown surface (it is behind a privacy fence) and the other is about 22-25 feet up over a garage roof.
My station typically is 3 to more than 5 degrees colder in the morning due to its location closer to the heat-radiating soil and brush surfaces. Those higher up are kept warmer by night breezes too. So there is a micro temperature inversion factor at work here at night if the air is clear.
In the morning, my station heats up more slowly if the air is still because it has a FARS (the other two don't) and there is shading of the surface directly under it. If there is wind, all the stations tend to read the same temperature. By the afternoon, my station heats more than the other two because of solar radiation that is re-radiated from the soil underneath. Once the sun sets and the evening breezes subside, my station then cools down much faster than the others.
So I think a lower mounted station in any location might have more extreme temperature ranges, but the daily average should be very close to the same as those mounted higher.