Well, this isn’t actually a nuclear reactor. This is more like (if their theory is correct), creating a miniature sun in the laboratory.
That might sound like another kind of nuclear reactor, but under their theory, stars are not powered by nuclear fission or fusion at all, but are purely electrical/plasma phenomena.
No. The theory is that it is electrical phenomena that drive the fusion reactions instead of gravity pressure. Fusion still happens, as does transmutation synthesis of heavier elements.
They say it is a nuclear reactor, because elements are being created in the plasma reaction that were not formerly present.
Matter is being created.