For home heating purposes, compare the efficiency of using a 96% efficient home furmnce to an electric heat pump running on electricity generated by a natural gas power generating plant, considering power plant energy conversion efficiency and transmission losses over ambient temperatures ranging from 20 degrees Celsius to minus thirty Celcius

Be sure to read the very end. I had to drag it out of the 'bot, but the conclusion is:

Most Efficient Use of Natural Gas in Central Alberta
Considering the average winter temperatures in Central Alberta, which range from around -10°C to -20°C during the coldest months, the natural gas furnace is likely to deliver more actual heating BTUs to the home per MCF of natural gas combusted. The heat pump's efficiency drops significantly in these lower temperatures, making the natural gas furnace the more efficient option for the majority of the heating season in Central Alberta.
Therefore, for the most efficient use of natural gas in Central Alberta, a high-efficiency natural gas furnace is the clear winner, especially during the coldest months when heating demand is highest.

https://www.perplexity.ai/search/forhome-heating-purposes-compa-69cQQM9YQHCauqD9UYei5g