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Yep. They did have sex for higher prices and with well known, respected customers.A geisha is more accurately a courtesan meaning they're professional entertainers versed in music and culture. Sexual favors isn't a main component in the job of a geisha/courtesan.
Just a minor piece of cultural history to think about.
Geisha were the highest level.That's what oiran were. Geisha had sex for relatively lower prices, and didn't have the option (might be wrong word here) to refuse any customers, as long as they were paid.