This seems fairly obvious once said; the ability to force a reroll on a hit in a system where any given hit is potentially lethal is a huge advantage. The only exception cases to this rule I've found is when the character with more Edge is massively outmatched by the their opponent -- to the point where the ratio of probable hits exceeds the ratio of Edge.
The practical upshot I've found is that because they have multiple Edge points, PC's using Edge points defensively have a staggering advantage over NPCs with 0 or even 1 point of Edge. How much? That I don't have good data on, but it is quite significant.
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