I don't get how just re-lubing and wiping down helps. Road grit mixed with any lube is like lapping compound. If you don't get a degreaser of some kind in there to wash out the grime, you are just asking for that mixture to polish your chain loose.

I've also heard not to use WD-40 to wash your chain, but I wouldn't be surprised if some of the chain cleaners are exactly that, or very close to it. Seems to me that if you use a good lube after the WD-40, or any other grease cutter, it should be fine.

If someone can point me to why that line of thinking is a bad idea, I'd love to read about it.