It really doesn't matter whether the alphabets relate. When it comes to fitting two different different alphabet system on same physical keyboard the most important thing is how many alphabets those systems have. There are 26 basic latin alphabets, many languages add few on those, Finnish and Swedish have 29 alphabets, German has 30, etc. Russian language has 33 alphabets, which is pretty close to those numbers, so fitting them on same keyboard really isn't that challenging.
Even doing Google image search for русская клавиатура (russian keyboard, at least according to google translator) doesn't show any images of physical keyboard with Cyrillic only. Seems that pretty much all physical keyboards catering to Russian markets have both Cyrillic and Latin alphabets, so I would assume that his keyboard also has Cyrillic and Latin alphabets.