I've experienced this myself - engine shutdown with the tranny still in D will keep the engine turning over from tranny drag. I don't think there's any harm to the tranny at all - it's all turning from end to end, so the lubrication is still working. Same for the engine, for that matter. It also keeps your brake vacuum and steering pressures up.
If you live in a really hilly region as I do, a long downhill with the engine off allows you to save brakes and keep the speed down, so I don't see a big issue here.
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Lead or follow. Either is fine.
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