You can understand quantitatively how this goes for different areas using Heating degree days and Cooling degree days, factoring in latent heat in both cases, ideally. There are calculators for this. I made a spreadsheet on my website www.openerv.ca that shows some of how to reckon this, there are links in there to get data.

In Austin, texas, I think you got quite a bit more energy and money saved per year from avoiding cooling costs, but in Ottawa, Canada, you save about 100x as much in winter as you ever could in summer.