And which of the Mediterranean diets would that be?
When people talk about this diet, they are referring to a pattern of eating, not a specific set of foods. It's largely plant-based with nuts, fruits, vegetables, legumes, whole grains etc, but also some dairy (usually yogurt), fish and small portions of red meat. I suspect the reason this generally works is because humans ate that way in the past, give or take. That is, what fruits, berries ansd nuts they could find, tubers, insects, fish and wild animals. No hunter/gatherer population ate nothing but plants as far as we know, but many likely ate mostly plants.
The problem with vegan diets is that we don't know before we start what our genetic history might mean for our ability to extract nutrients from foods. Sure, one can very carefully plan their diet, maximising use of foods available to us because we can transport foods around the world and because we can take necessary supplements. But it's way easier to get adequate nutrition eating Mediterranean. I am willing to bet there was no human population who lived near the sea who did NOT eat fish, shellfish, crustaceans etc.
I would like to see this science. Do you have a link.
You don't have to look very far. I certainly have never seen anything to state that a Med diet is not the best general purpose eating pattern for humans. Here's a recent study that concludes that PB diets with a little animal protein offers health benefits, while a strictly vegan diet comes with risks that can be mitigated with supplementation and food fortification (ie using modern technology):
The study you refer to comparing Med diet with PB diet is talking more generally about mostly PB, not specifically vegan (just 1.65% of the respondents ate a strict vegan diet). They also observed that:
"Furthermore, it is crucial to emphasize that plant-based diets are not necessarily suitable for everyone and may require careful monitoring, especially in the initial stages of adoption. Supervision by healthcare professionals is essential to ensure that individuals maintain an optimal nutritional balance and to prevent any deficiencies or imbalances that may result from improperly planned diets."
Also, the fact that Spanish young folk are adopting more PB diets because of concerns about climate change and animal welfare don't tell us anything at all about long term suitability of such diets.
As to the Vegan Vs Med diet article, Dr Gil offers some helpful analysis:
A vegan diet can be healthy and nutritious but as far as i can tell, it has its shortcomings and may not be suitable for all. Plus, it is absolutely not the diet that most people are willing to adopt, which explains the low levels of vegan dietary adherence in the population generally and the fact that most people who try the diet eventually give it up.