This is almost certainly a scam. It claims to deliver "light electrical stimulation to the pre-frontal cortex." There is absolutely no way that a device this small is going to deliver electrical energy through the skull to stimulate the brain. If it could deliver that much power, it would basically be an execution device.
My guess is it has a small RF emitter, which is going to do absolutely nothing.
Brain stimulation is a real thing, and it's incredibly useful for people with tremors. It involves drilling a small hole in the skull and implanting an electrode. It doesn't look like this thing has a built-in drill.
An interesting guess, but your premise is flawed. Transcranial Direct Current Stimulation does use electrodes on the scalp, with very little voltage or current needed to effectively alter brain function through the skull non-invasively:
I'm amazed that this actually works. My field of expertise is in electronics, not medicine, and this makes no sense to me. I'm obviously wrong, but I still don't understand it. With Transcranial Direct Current Stimulation, if you're applying a low voltage/current, I don't understand how that translates from the skin into the brain.
If you take a coil of wire and apply direct current, there will be no transfer of electrical power to anything nearby. It will create a magnetic field, but you need alternating current in order to "transfer" power from one isolated conductor to another. Even in the case of AC, if you're trying to transfer electrical energy from an inductor to a mushy lump of protein (brain), I would imagine you would need a a very high input power to induce any appreciable amount of power in the target.
This is why I defer to my doctor for medical decisions.
Bone is actually far more conductive than you might think! Our main protection from current comes from that very outer layer of skin; once that's breached resistance drops relatively dramatically.
And bone itself, being a non-homogeneous material, exhibits variable conductivity throughout with the marrow for example being more conductive than calcium (well, mostly hydroxyapatite I think, to be perfectly accurate) with a relatively low average resistance: https://www.nature.com/articles/s41598-018-26836-0
So (roughly speaking) the idea is that this device puts multiple paired contact points on the scalp and drops skin resistance with some gel or something, like an EKG or EEG, in such a way that the path of least resistance goes through the bits they want to stimulate.