I had some tree ripe limes grown in a backyard in florida, that were far beyond better tasting than anything from the grocery stores. I was trying to get a friend to mail some to me, but the fruit cartels have lobbied for strict laws prohibiting mailing produce over state lines.
There is something not entirely good about much of the organic label citrus at the health food store. I think they are treating and fertilizing with things that may be organic labeled, but are not totally natural...they also harvest most fruit way before it is fully ripe. It can be tolerable, but its not Ideal.
I have a small orange colored lime tree in a pot, that produces some very small fruit, perhaps in a couple of years it will get large enough to bare a useful quantity. Though very small, the fruit is very good.
The same issue seems to be with a number of other products, the organic label is often not a good indication of quality.