What about Kaladin getting sliced with the Shardblade and then being able to rejuvenate?
That is a clue for what is going on with Szeth and his understanding of Shardblades and the Shardblade he has.
Which is an Honorblade, right?
I can’t say, but Szeth says in book one you can’t heal a Shardblade wound with Stormlight. There are other very big but subtle discrepancies between what Szeth does and what Kaladin does.
Szeth has since been confirmed to have and Honorblade.
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