I've yet to hear any good reason for why stables need to be on Lightning rails specifically though: I mean, if you're trusting i.e. Tether, you may as well transfer your Tether over Binance Pay. It'll be easier and faster to use the centralized service, and you can get rugged by Tether even if you're using Lightning-Tether so you're not really taking that much more risk either way. 

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