The thing about Sapodillas that may hinder some from falling in love with this fruit is that it takes a really keen eye to determine when to remove the fruit from the tree, as the change in coloration is very subtle to nill in this fruit species.
Generally speaking, if you pick the fruit at the right time off the tree, then you need to wait for it to soften a bit, and then it can be eaten. If the fruit was picked at the precise time, and the Sapodilla variety is one of good quality, then you are in for a real good, knock your socks off, treat.
If the timing is off, whereas the fruit is picked too early or too late, and/or the Sapodilla variety is not of good quality, then all bets are off. When this is the case, I extremely dislike eating the resulting Sapodilla fruit.
P.S. About Nullzero's Sapodilla + lemon juice: sounds like a great combination and can't wait to try it.