Yeah, I agree it's definitely tickier when cold, but that's true with almost any engine, and considering how the engine is designed I would be surprised if it didn't tick when cold.
My engine doesn't get a lot of use, and it's extremely quiet, so every oil change I do the song and dance of hearing how much it ticks in maintenance mode and then obsessively comparing it to recordings online.
It is very much a sewing machine engine noise, but I believe that is normal, especially for a Honda.