https://cleanheat.ny.gov/heat-pumps-cold-climates-do-they-wo...
Nobody is bragging about COP == 1 ... it's just a reference point at which the benefit of a heat pump goes away and it becomes ... just an inefficient heater.
Of course I recognize low temperatures are merely one small portion of the time. Residential heat pump system design has generally taken advantage of this by having backup resistive coils. It would be much more efficient to fall back to a gas furnace, but for the capital cost. So an actual comparison necessarily takes into account expected temperatures over the day and the heating season, likely nighttime setback, thermal mass, etc. Which certainly isn't easy to button up into a simple comparison, but the point is resistive heating is a red herring!
Sure, a heat pump with a COP of <2 is basically broken, but consider on how many hours of how many days it's actually going to perform at such a poor efficiency level.
Overall, your greenhouse gas emissions will be an order of magnitude below gas heating. Today, or at least until recently, it's about break-even at a COP of 3 iirc, but with solar and wind being the targets, it's going to be near zero by the time a heat pump bought today goes end-of-life.