Since this is a wood turning forum, I can't believe that you need to use a strop.
I do, as a carver. My actions are slow and I might want a glass-like smoothness to the surface.
Since your wood is spinning, moving at speed, surface finesse seems unwaranted.
I would finish your tools with 1500grit, maybe 4K waterstone to try to impress you with pretty.
What keeps you at the lathe? Huh?
As a little note added in proof, I maintain 16 pcs full size Sorby lathe tools for the owner.
Paying it forward to the day I want to do some turning. He likes my edges.
I really don't hone that often except for the skew. I grind on a 180 grit CBN wheel and i'm experimenting with a 320 grit sanding belt. I don't hone afterwords. Sometimes I will for a final few passes if the wood is being a problem. I never use the strop on my gouges. I will touch up the skew with it every few minutes if it takes it to do that type of wood. Most of the time it's sharp enough straight off my 1200 grit diamond hone.
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