No. That's personal (not private) property. The MoP are manned by labour supplied by the proletariat. If you are having people working with that widget maker (aside from yourself), and you are paying them wages (or slavery), then it qualifies as MoP and the workers would seize it.
In the same way, a programmer's computer, provided the owner is not using it as MoP for wage-labour, belongs to the programmer.
>When asked how any decision would be made by the collective, since it is a system run by "society" not by any individuals, the answer often hear is through democratic means
Our experiences differ; usually the response is that people can organise themselves freely into collectives or communes. There is no police force to force you to join a commune or obey their rules.