are you saying chamomile isn't called tea but it's one of the teas without caffeine? if so that's very confused.
camelia sinensis is tea. when i said that other things are casually called tea, i mean that what chamomile tea, for example, ought to be called is a tisane or an herbal infusion. casually, people might call it a tea; some people are so casual about it that they think it actually is tea. but it isn't.