Jill S, the answer to your question is all of the above. The Acca bushes for example I grew from seeds bought from Chiltern Seeds in UK many years ago. Our Mango I grew from a stone brought by a friend from UK who was over on holiday. She had got the original fruit from a relative who was visiting her from her native Jamaica. We had a Mulberry that was grown from a cutting taken from the tree that grew outside my wife's family home when she was growing up. Many of our plants, not only the fruit trees, have tales to tell.
Alice, our Acca (Feijoa) fruit are probably not as fully developed and juicy as they would be if grown in a more temperate climate with access to more water. Ours are not situated in the, for want of a better word, orchard area of our property with the majority of the other fruit trees where there is irrigation and so they probably don't get as much water as they really need. In consequence the fruit are quite small, the flesh is fairly firm and almost gritty in texture. The taste is not unpleasant and with a slightly sharp after taste that could, perhaps, explain its common name of Pineapple Guava. My wife has on occasion made a sort of jam/preserve from them. I believe they are grown commercially in New Zealand so maybe one of our antipodean colleagues could tell us what they should really taste like.