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TNS might be the sum of the negative slack for just the worst failing path of each source/destination register pair and not include the slack for the other failing paths for register pairs that have more than one path between them.
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Maybe what I was told is that TNS is the sum of the single worst slack for every destination register with failing paths regardless of how many different source registers are involved in those failures. That would be consistent with the term "end-point TNS".
Whatever the calculation is, the purpose is just a metric to give you an idea of how bad the overall timing is as I described at the end of my previous post.
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