Yes. Every country is in some way "social", but social market economies focus strongly on keeping a balance.
Especially in the US the balance has been skewed since forever towards capitalism.
Historically, Social Market Economies evolved in countries where the population was supportive of socialist and communist uprisings, but the ruling class tried to keep the economy, and implemented the same benefits as in a socialist system in the existing market economy (See Bismarck’s Social Welfare model in Germany and the history of Bismarck vs. the Social Democrats on this).
What I'm arguing against us the implication that such 'social market' economies are in any way not capitalist or less capitalist than others. Its a false premse. Nordic model national economies can be very capitalism friendly or very statist.
"Sweden's industry is overwhelmingly in private control; unlike some other industrialized Western countries, such as Austria, Italy or Finland, state owned enterprises were always of minor importance."
In fact I think I can make a strong argument that capitalism relies on property rights and therefore the rule of law, which tends to support individual rights in general including privacy.