The closest label I've found thus far...

[JBeukema]

Social democracy is a political ideology of the centre-left on the classic political spectrum. It is by tradition a form evolutionary reformist socialism...committed [to] the replacement of capitalism with socialism [through evolutionary or reformist means] and committed adherents to oppose Stalinist communism...

Social democracy promotes the creation of economic democracy as a means to secure workers' rights.[3] Social democracy rejects the Marxian principle of dictatorship of the proletariat, claiming that gradualist democratic reforms will improve the rights of the working class.[4]

The goal of social democracy is to complement capitalism through parliamentary and democratic processes in order to achieve a mixed economy, controlled by a representative government. This includes financial regulation, and various state sponsored programs to ameliorate and remove the inequities and injustices inflicted by the market system. Social democrats do not aim to replace the fundamental aspects of capitalism; private-ownership of the means of production, the system of wage-labor and commodity production; instead social democrats advocate Third way positions and the social market economy. The term itself is also used to refer to the particular kind of society that social democrats advocate.[5]

...In the early 20th century, however, a number of socialist parties rejected revolution and other traditional ideas of Marxism such as class struggle, and went on to take more moderate positions. These moderate positions included a belief that reformism was a desirable way to achieve socialism. However, modern social democracy has deviated from socialism, now championing the idea of a democratic welfare state which incorporates elements of both socialism and capitalism.[6]

Social democracy - Wikipedia, the free encyclopedia

political ideology that advocates a peaceful, evolutionary transition of society from capitalism to socialism using established political processes. Based on 19th-century socialism and the tenets of Karl Marx and Friedrich Engels, social democracy shares common ideological roots with communism but eschews its militancy and totalitarianism. Social democracy was originally known as revisionism because it represented a change in basic Marxist doctrine, primarily in the former’s repudiation of the use of revolution to establish a socialist society.

social democracy -- Britannica Online Encyclopedia