The extra rinse is fine. A cool rinse uses minimal water and very little energy, so feel free. The tradeoff of a top loader using 1x water in the wash and 1x

The extra rinse is fine. A cool rinse uses minimal water and very little energy, so feel free. The tradeoff of a top loader using 1x water in the wash and 1x water in the rinse vs a front loader using ~2/5th water in the wash 2 * ~2/5th water in the two rinses is still a significant net savings. Assuming you have a setting for the rinse the biggest issue for me is remembering to keep the door open so it dries.