That sounds very difficult to believe.
All life shares common elements, see the large and small mitochondrial subunits (rRNA). They are so critical to producing celluar energy that there are sequences are incredibly conserved, such that databases exists with aligments across life.
There are several major types of plastids, and two are well-known: chloroplasts, and chromoplasts.
Plastids emerged from symbiotic assimilation, as did the mitochondria.
The signals that mushrooms send to each other through their mycelium network have the same physical and chemical mechanisms as the brain and neurological networks.
(Mushroom is a small part of the overall organism, it's just the fruiting body)
You can trace a path from, say, the back of your knee, through the intestines, and out to your eye lid, as you can trace a path from any point on a the outside of a torus.
We're just a very complicated doughnut.
It's something a medical scientist type I studied under was fond of saying, and I find it a useful model