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I've used the Kings, a lot, 800 & up on Jp kitchen knives & there is no way they leave deep scratches.
They are perfect for polishing & colouring the soft iron cladding on those knives.
What you...

It's all about speed.
The scratch pattern & how often the stone needs lapping is all about how fast you can finish the job.
A deep scratch pattern eg DMT or Shapton Pro may see you spend more...