I've never played a Hocus (or any of the playbooks, really, because I've only been an MC) but I can tell you how I handle one of my PC's characters that has this option (and what the context is to him belonging more to the cult than the other way around.)
In terms of ownership, Omosho (the Hocus in the game I'm MCing) has a situation going along pretty well with what Daniel mentioned. He was born into the cult, designated as a "Holy Child" by the previous leader before he kicked the bucket, because he knew that the followers of the cult wouldn't be able to do anything without some idea of a person to follow.
He's 12 years old right now, and has spent his whole life "leading" these people who are mostly older than him. It's an odd dynamic where the cult teaches him what is "right" and "good," and gives him rules to follow, while also following him in his decisions even if they're the obviously silly/not-well-thought-out ideas of a child. (This comes from the fact that he also selected the option that they rely on him for everything.) Ownership comes in the form of this being the only thing Omosho knows. It's the idea that it is the only option for him and that it is his absolute duty to do what is best for his people, but it also comes in the form of an inability to be separated from them. They need him, as far as they're concerned, and would probably follow him around and expect things of him even if he tried to disband.
Judgement in this case, for Omosho, generally comes as a response to him not being able to provide. Generally, if we don't know what the thing is, I as the MC will ask the PC "Why are your followers upset with you?" and he'll respond. Other times it's glaringly obvious- Omosho fainted, for instance, in a very stressful situation where he was expected to respond. It was very obvious the next session when the PC missed the start of session roll that his followers were judging him for not being able to do something in their time of need.
So far this has not had to have any mechanical "the followers will now do ____" consequences because the particular PC who plays Omosho has characterized him to desperately require acceptance and love from his followers, so when they are judging it very rarely gets to the point where they have to do anything, because Omosho jumps through as many hoops as he possibly can to try and get on their good sides again. Unfortunately on account of Omosho being a child and not very good at thinking things out from a perspective of someone with more experience, this usually just leads to even more trouble. It's an interesting dynamic altogether, I think anyway!
This option can, as mentioned previously, be played out in a number of different ways- that's just the particular scenario that ended up playing out with one character. I could see it going in a ton of different ways.
You could have a Hocus who belongs to their cult because their cult provides something for them that they need (whether through necessity, addiction, ect.) and they have no other way to get it, or no EASY way to get it, and maybe doing what they want from you is easier than the work it would take to get it otherwise. Judgement in this case could result in the loss of that thing, or further punishment, until the Hocus proved themselves/made up for it.
You could have a Hocus who is literally owned by their cult; Who is kept in shackles or followed around. Who literally can't escape even though they're terrified. Judgement in this case could result in physical harm, restraint from the outside world, death or destruction of whatever it was that let them "stray" from their path or inspired them to "rebel" against the cult. The removal of or punishment for whatever they're judging you for.
You could take it in a less literal direction; That the Hocus feels that they belong to the cult. That the cult has done something for them that makes them feel indebted. Or they feel like they have nothing else but the cult; The idea of not having those followers terrifies them. Maybe the cult doesn't actually need them- maybe the Hocus was chosen because they're someone who fits the bill, but there are others that the cult can find. And so when the slightest hint of their unhappiness with the Hocus' actions becomes known it's the Hocus themselves who reacts viscerally- judgement comes in the form of the Hocus perceiving that their position is slipping, and there is a fear of being abandon or unimportant so great that they do anything they can to make up for it, even if there is no actual danger of anyone leaving.
These are just some ideas off the top of my head, and I couldn't say with any certainty how well they'd work in play. But needless to say that any interpretation of it is probably fine as long as it actually makes sense in some form given the descriptor! That's what I'd think, anyway.