It was my impression that only the actual lighting of the fire resulted in blinding/confusion for shades: Otherwise, carrying a torch around would be a nearly necessary plan at all times in the Forest, as even if you broke one of the other two Rules you'd be a bit protected from immediate attack.
So, by my reading of the story, someone who ran while carrying a (safely-lit) torch would be just as doomed as someone who ran with a jar of glowpaste. (Tangent: Also, fluorescence and the use of UV light in a fantasy story? Yes please. )
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As to the "new" fire being "new", let's look at that.
From this story, I gather that a Rothfuss-style "sympathy" magic would be able to work quite well—at least to some extent—in the cosmere. For instance, a coal taken from a fire should give you some connection to that fire. To get all proclaim-y: Yes, a "new" fire is "new", but it is at the same time the same as the fire it was born from. Only when building a fire out of naught, creating light and life where once there was none, is a truly new fire created, without any lineage or connection to the fires of old.
*Minute WoK Spoilers*
It may bear looking into this in relation to Syl's "all spren are, in a sense, virtually the same individual" statement.