Doesn't matter, as explained in the second paragraph of the article: the air gap (35 nm) is shorter than the mean free path [1] in air, so the electrons are effectively moving in a vacuum.
> Is this basically the return of the thermionic valve after fifty years in the wilderness?
Yes. The paper's abstract starts out saying just that: "Scattering-free transport in vacuum tubes has always been superior to solid-state transistors. It is the advanced fabrication with mass production capability at low cost which drove solid-state nanoelectronics. Here, we combine the best of vacuum tubes with advanced nanofabrication technology." [2]