Apple customer care is saying if i used headphones other than apple in iphone?

I mean sony, beats, bose it will damage headphone jack, please tell is this true?

I've used 10 different headphones in Apple products and never had an issue.

No it's not true. They are lying. Apple has gone rotten to the core.

False. I'm using skullcandy and they work awesome. ( 6 months)

Totally false.