Not at all - I'm just confused about the whole left / right distinction being proposed by the OP, since "nationalization" was never (as far as I can tell) part of the "left" at least when we talk about _socialism_.
National socialists were definitely interested in "nationalizing" things, but socialists were a little bit more broad in their interpretation of what they were doing with "the stuff that isn't property" (at least as far as I understand it).
But maybe the OP was not talking about "what they thought they were doing" only describing "what they do / did"?