in what was is subsidies socialism?

what ownership control does the state have over the means of production?

Every year the percentage of European GDP driven by government spending rises by roughly 1%. We just hit over 50% on average in the Eurozone.

So they have over 50% control, and this will only rise as the population further ages, eating all productive activity in the economy.

It doesn't matter who 'owns' the means of production if the government is post-facto seizing a controlling stake in all economic activity via taxation and deficit spending (phantom taxation via inflation). Europe is quite literally eating its private sector like saturn devouring his son.