The system in my old house was a bit oversized, which I did purposely. Being two-speed, it was able to run on low speed much of the time, sometimes for several hours at a time, which kept humidity low and temperatures consistent. High speed did kick in for cooling fairly often, in the heat of the South Texas summer. For heating, the system also was able to run on low speed the majority of the time, and keep up with the load *without* needing the auxiliary, even in those few incidents of < 32°F ambients. I had an extra outdoor temp sensor added that allowed locking-out the resistance until the ambient was lower than a particular temp, which I had set at 25°F (the lowest it allowed). The resistance never ran except during defrost, and I could easily get 72°F with the system cycling.
I didn't have the extra temp sensor for the first heating season, and being smarter than necessary (LOL), the thermostat would sometimes trigger the auxiliary if it *thought* the system was taking too long to reach the setpoint . . . when running the compressor just a little longer would do the trick. That irritated me greatly, so I 'scoped out the solution.
The same situation arose at the new house. I moved in at the end of January, with just a brief time left on the heating season. The idiot thing also triggered the auxiliary much too often, when I'd rather have the compressor running longer. I researched and found that Carrier also has the optional outdoor temp sensor with lock-out function. By the time the slacker-offer service outfit got around to installing it, heating season was officially over . . but I'm good to go for the next!