Yes, you have misunderstood me, but perhaps you are getting closer. Maybe providing some illustrations will help.
I have authority to compel my child to engage, at least outwardly, in household worship. I do not have authority to compel another child to do so. In years long past it was understood that the master had the authority to compel his servants to engage in household worship as well, but of course he would have no authority to compel the servants of another. So how do we classify our subordinates in the workplace? Are they our servants whom we can compel to worship or not? Even if one is the owner of the business, will he not quickly get in legal trouble if he compels employees to prayer and Bible study? Could that the fact that he faces legal consequences be an indicator that his employees are, in fact, the servants of another, that is, the State?
In years long past, it was understood that the business owner could dispose of his property and his labor as he wished, but that the servant was acting according to the direction of the master. So if the master directed the servant to bake a cake that the master would later bring to a party held by the master’s friend to celebrate his new lover after he abandoned his wife, would we say that the servant sinned by merely baking a cake over which he could not control the use? And if the government can tell a baker to bake a cake for the celebration of sexual sin under legal threat of confiscating his business, could that fact be an indicator that the government rather than the baker is the true owner of the business and that the baker is actually a servant?
Of course, one shortcoming of my illustration is that servants can seek out a different master, but we under the domain of the U.S. government cannot do so.
Perhaps you would say I am rationalizing the avoidance of risk of consequences. But I do think there is something very different about authority in our current society compared to that of centuries past. Here we putatively own businesses, but the State is very directive in how we engage with employees and customers. So do some of us have the authority of a master, or are we all just servants of the State?