I’m sure individuals had preferred roles. I think in this day and age describing them as labor may be more accurate than slave.
> The use of house size as a proxy for the economic status and social power of households in a society is based on broad cross-cultural evidence from ethno-archaeological studies and archival sources as it has been found that household wealth and house size are correlated in many societies
Basic premise of this study is wrong, based on recorded history from the same region. Nomadic herding warriors do not live in houses, and do not leave the same mark in archaeology records.
Early agriculture can support a huge number of people, but they will be malnourished, and always be dominated by meat fed elites!
Your nomadic herding warriors leave graves behind - Kurgan - as well as distinctive pottery, as clues to the general area they were being nomadic in, which was initially elsewhere while the Cucuteni were thriving. I don't think maintaining slaves at a distance works as a concept.