It's not a few days a year in one room. Geothermal maintains a stable temperature throughout the year so it reduces the need for AC in summer and heating in the winter. While it doesn't do the whole job, it does enough that you can reduce your power needs significantly. As for break even, it does, when you consider the whole picture. Additionally, if you don't take on environmental needs as your own personal cause, then how can you expect others to.
Be the change you want to see in the world.