I'm not sure I like the atmosphere in most tattoo parlours I've seen
Have you ever actually been into one?
Far cleaner and far more professional than Claire's. For starters, they don't make you sit in the window, nor do they pierce the ears of screaming babies and toddlers. Needles aren't loud, don't cause trauma to the ear and are single use and far more hygienic.
Before I moved house, I went to the same girl for all my piercings. She had professional qualifications, hygiene certificates and her room was sterile. Clean chair (cleaned after every appointment), clean gloves - jewellery and needles opened in front of you from sterile packaging etc.
The tattoo parlour itself was clean, friendly and professionally run. Everyone was happy to answer any questions you had, and you were in no way forced to have anything done. There is no way they would have pierced a crying or uncertain child either - they were huge on consent and making sure you had ID with you as well.
I would never take my child to get their ears pierced at Claire's. It would be a tattoo parlour or nothing.