Omarchy has gotten somewhat of a reputation for getting a lot of sponsorship money from commercial actors. If by monetize you mean "Get people to pay us" omarchy are definitely monetizing. Not much different to Asahi themselves of course, but is it right/moral to fork another active projects code and use it in order to gain your own patrons? I don't hold the answers. But no they aren't selling anything.

edit: worth noting this example, where DigitalOcean started cutting OSS support only to pledge millions of dollars to Omarchy. No wonder people consider the project a leech to the OSS community, but also consider correlation != causation: https://itsfoss.com/news/digitalocean-open-source-credits-en...