The truffle infused trees we produce in the UK, are not sourced from Nurseries. We produce these trees ourselves using certified seed stocks, so that germ lines can be traced back to the parental trees. The Tuber is obtained from reputable suppliers that are accredited by the types of regulation adhered to in the last post. The truffles used to inoculate trees and the infected plants, are authenticated using a molecular diagnostic procedure called 'sequencing' a common method that is powerful enough to differentiate between any true truffle species. Many of our customers will verify this. We have expert molecular biologists with over 25 years experience in the Agricultural Biotechnology industry who are more than capable of performing these tests on our behalf.
Our company is not entertaining the idea of training dogs or pigs, and has never attracted us commercially. A large problem truffle grower’s face anywhere is obtaining trees from un-reputable dealers (as you clearly point out); these trees are 'commonly’ devoid of any truffle fungus. Assumptions about growth requirements are more usually misguided. We are dedicated to research in this area and have partnerships with farmers to understand and better define these requirements.
You are of course correct the Holm Oak and Hazel are often chosen as the host tree by most truffle producers, as these are fast growing and host many truffle species. Our portfolio of infected trees is larger than most, it even includes the English Oak (Totally Truffles - Totally Truffles). Truffle production is on the decline across Europe as you are probably aware as you sound like an authority on this subject, despite a massive drive to plant infected trees in France there is obviously still a niche in this market.
Truffle orchards were never intended to be woodlands, so I do not understand the last point you make? Commercial production of these fungi in well managed orchards, will obviously ensure the stocks of naturally occurring truffles.
I never did learn latin, you will have to forgive my ignorance.