This sentence does not apply because "social market economy" does not imply that companies should be owned by their workes.
> What percentage are owned by capitalists, generating private profits?
This sentence does not apply because a "social market economy" does not forbid the generation of profits. Profits are to be shared with the populace to pay for social policies, which is happening.
> Are those numbers indicative of socialism or capitalism?
You should really - really - read up on "Soziale Marktwirtschaft" and ordoliberalism before you make a point. If you don't know how they are defined and what they mean, you cannot make a coherent argument.
> You're essentially arguing that real capitalism hasn't been attempted yet - that more "freedom" (from regulation), more inequality will somehow fix things.
I have not and you are free to cite where I did.
> Germany is a capitalist country with strong social welfare.
Congratulations, you combine this with "Regulation" and a state mandated "Economic Conscience", you have finally found out what "social market economy" means. It's not "capitalism with X". It's so far removed from the idea of capitalism that we use another term entirely.
> but one thing that's not up for serious discussion is its economic model.
I encourage you to look up the terms. Again.