I interpret it as socially conservative, but preferring strong state involvement in economy.

Personal liberty is not very important. There can be rich people, but they are to be humbled by a powerful government. A very extreme example of such a regime is the National Socialist Germany.

That description, and your example, are in no way "left-wing."

I think that "preferring strong state involvement in economy" is a very traditional "left-wing" policy.

Regarding social conservatism, even extreme left-wing governments have often been socially conservative in many issues, even if they wanted to shake power structures. Consider, for instance, how stalinist Soviet Union related to homosexuals.

maybe the same as right-wing liberals, that is, complete nonsense.

If you try to think out of the U.S. politics box where labels are strictly enforced, it make a lot of sense. The communist party in italy during the 60s and 70s was pretty much the epitome of left-wing conservatism.