To me they're like mere servants of the State, like Lenin talked about in "2. What is to Replace the Smashed State Machine?" in his writing "The State and Revolution"
Under Capitalism, they are its privileged knights that try to deflect and control, if not defend directly its image as "the only option", who have their incentive in doing so, with their class status stake being in their duty to shepherd the means of production and its resulting benefits
However, they don't own the means of production, as they merely manage it for the landholding, industrialist, and financier capitalists
On the other hand, under Socialism, while its privileges will be probably be done away, the PM class on its own would innovated upon, for their new duty of overseeing, managing, and reporting the collectivized cooperatives and state-owned enterprises..
Until the final stage of Communism arrives, I think they're pretty handy
I say this, because I hear such disgusted sentiment in Hexbear against them
The work of Taylor wasn't just for projects, but its focus was on measuring activities done in production. You can see those ideas being developed later on with Fordism and further in Toyotism, each with their own breakthroughs.
I think scientific management will develop further in communist societies, since labor need to be organized. One of many contributions of capitalism when compared to feudalism was specialization and then breakdown of very complex processes in smaller simpler tasks. However, in communism, the tendency is that the technical aspects of production will remain while the socio-economic relations will change, since there will not be exploiter and exploitable classes anymore.
Well, there’s a lot more people than Taylor. But it all circulates around the idea of standardized work, which applies to second item that I mentioned; workflow optimization.