It’s the marketing made by the site, for which many people knows about the site and joins the site.
Once they join the site, they see the types of games, the features of sites and if they like it, they visit frequently.
Here the branding of the gambling site doesn’t play an important role according to me.
All is to be done by the gambling site is that, they need to provide transparency with their customers.
Willing to hear other people’s opinions on this.
Personally, I'm prefer to site functionality rather than gambling name, but if we look from the experience... gambling name is more important for the first impression.