You have explained why shifting it during the summer is a benefit but not why shifting it back in the winter is also a benefit. In other words, would there be any downside to keeping the time the same year round provided the summer months worked out the way you need?
Shifting it back for the winter gets us back on a schedule more in-lined with the "real world". I'm most thankful that the hubs comes home at a decent time for supper instead of some moronic hour which sets the tone for the rest of the evening.
Yes, it doesn't sound like much of a difference, but shifting 1 daylight hour makes a big difference in getting kids fed, to bed, and up again in the morning for school. Subtle, but kinda huge. Kiddos getting one less hour of sleep? Disaster.
Probably not the reasoning for the original plan, but it's the reason that affects me the most.