Voted for 'Team Overwinter' but I go beyond that. Not only do I overwinter my own plants but also pick up the plants discarded by others if there is a sign of life left. Some of my best loved plants that I now share with others were once someone's trashed plant.
Save the whales - check
Save the bees - check
Save the children - check
Save the plants - check
Save some time - occasionally
Save some money...not gonna happen!