I see what you are saying. On the branches that haven't been grafted, you still get offspring from the original tree.
I wasn't familiar with grafting many different types of fruit to the same tree. They didn't talk about that! And if I hadn't asked you, I never would have had the information to know what question to ask to find more information I didn't know I didn't know.
Ok. Found this:
Exchange of Genetic Material Between Cells in Plant Tissue Grafts - Stegemann and Bock, Science 2009
Quoting from the article:
Although the grafted tissues fuse and establish vascular connections, the stock (the lower part of the graft) and scion (the upper part, usually supplying solely aerial parts to the graft) are thought not to exchange their genetic materials. But grafting (whether natural or assisted) provides a path for horizontal gene transfer. Gene transfer is confined to the graft site and no long-distance transfer may occur. Analyzes indicating that large DNA pieces or even entire plastid genomes are transferred. Only plastid genes may be transferred, no transfer of nuclear genes occur. Plant cells are connected via plasmatic bridges called plasmodesmata, but the passage of large macromolecules requires the action of specific plasmodesmata-widening proteins. Whether large DNA pieces or even entire organelles can travel through plasmodesmata requires further investigation.
Finally, although our data demonstrate the exchange of genetic material between grafted plants, they do not lend support to the tenet of Lysenkoism that “graft hybridization” would be analogous to sexual hybridization. Instead, our finding that gene transfer is restricted to the contact zone between scion and stock indicates that the changes can become heritable only via lateral shoot formation from the graft site. However, there is some reported evidence for heritable alterations induced by grafting and, in light of our findings, these cases certainly warrant detailed molecular investigation.
From what I found, plant grafting is entirely different from human transplantation which isn't surprising because the biology of the 2 organisms are entirely different.
As far as the multiple fruit trees, I've seen them in many of the plant catalogues I get in the mail. Here's just one example:
http://www.groworganic.com/multi-grafted-constant-harvest-apple-semi-dwarf-no-1-size.html
As for this part of your post:
"if I hadn't asked you, I never would have had the information to know what question to ask to find more information I didn't know I didn't know."
Say whut?? On that note, I'm going nigh-night.