As I wrote earlier the Peruvians taught me that I need to let the Lucuma sit until it has wrinkles. I did that with all Lucuma fruits I bought or bought already wrinkly ones. Even so there were big differences in taste which I think could be the cultivars because I never bought fruit at the same market while travelling.
But I'll keep that in mind and get a chance to buy Lucuma for the next time, I'll try that out.
People earlier in this thread were writing that the highland species was inedible because it was so dry - I really would like to compare it with the lowland one. But from the size description those I had were all softball-sized.