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NW and TT are two names for the same thing, depending on brand.
So long as your single chainring has an even number number of teeth and your chain doesn't have any halflinks, you can guarantee that a tooth that meets the inner plates of a chain will always meet inner plates (unless the chain drops). This means that every other tooth can be even wider than a normal SS chainring's teeth. The benefits are that you don't end up with alternating clean and dirty teeth as you would with an even-numbered SS ring, and also when you're at the extremes of chain angle, having the wider tooth in between the wider plates reduces the risk of the inner plate hitting the top of a tooth rather than going either side...
I lost you at narrow wide or thick thin chainring. Not sure if genuine advice or troll.