Should I be concerned if a dental office says they clean veneers in the same manner as real teeth?

If your veneer is AT LEAST standard quality ceramic, the material is designed to mimic the physical properties of enamel. There are no unique or special methods for cleaning a veneer differently than other teeth. Rest assured, as long as you are not switching dental offices every 6 months, your dental hygiene professional will be aware and do the cleaning without inflicting any harm to the veneer. No need to tell them "don't damage my veneer" at the beginning of every cleaning, either :)