I don't know why vagus nerve stimulation would reduce brain fog, unless the brain fog is somehow associated with anxiety.
Here's a list of what little I know about the vagus nerve and ME/CFS
The role of the vagus nerve in ME/CFS isn't fully understood. (by the way, there isn't just one vagus nerve, but they act together so they are treated as one)
Heart rate: While one system, the sympathetic nerves, cause your heart rate to increase, the completely separate vagus nerve causes the heart rate to slow down. So, if you have POTS, the vagus nerve may not be doing its job.
But its role goes beyond regulation heart rate. The vagus nerve can detect immune cells in your body and then relay that information to your brain. Then your brain may respond by making you feel tired and sick.
The vagus nerve also stars in a hypothesis that ME/CFS is caused by an infection in the vagus nerve.
We associate the vagus nerve with calm. It is therefore surprising that removing vagus nerve innervation of the stomach is a treatment for ulcers (though no longer common). But maybe not so surprising, since the vagus nerve stimulates digestion.