I looked at MeisterSinger’s (Swiss company) single hand watches. They have a range of them automatic and non-automatic. They are better than Luch single hand with 19 jewels , waterproof, sapphire glass. Probably better mechanism. Although . Luch is owned by Swiss company too. I don’t know if Swiss mechanism are used. I’ve seen Luch using Japanese Miyota on some watches.
MeisterSinger single hand cost between $1,350-$2,500. Luch single hand cost $70.