As far as I'm concerned, there are only two types of Peach trees. The one's you buy, and the one's you don't.
Of course there are actually hundreds of different types of Peach, from orange fleshed, to white, to blood coloured. There are flat ones, and round ones. There are furry ones, and there are smooth.
The Peche de Vigne is usually grown from the pip of a good variety. Sometimes they resemble the mother plant, but more than often they don't. In many ways this doesn't really matter as the fruits are good anyway.
The trees were traditionally grown at the end of each row of vines, rather like certain Roses, to predict the onslaught of disease. If spots appeared on the leaves of the Peach trees, it was a warning for the growers to take immediate action. The fruit usually matures at the same time as the vendange so the pickers also had ready made snacks at the end of each row.
I only have one pukka grafted Peach tree; all my others are what I would call Peche de Vigne. It's always a toss-up with Peaches; one year they are loaded, the following year, nothing. They are very susceptible to weather conditions. This year our main Peche de Vigne (above) has plenty of fruit, and they are just beginning to ripen. Wonderful.
Our pukka grafted tree (Boo Boo's tree) also performed very well this year. We've been lucky.