Shared ground
Paul treats “disorderly” life as a real community problem, not just a private preference. His instruction “in the name of the Lord Jesus Christ” signals that the issue touches loyalty to Christ, not merely Paul’s personal opinion (explicit text).
The passage assumes that Christian teaching produces a recognizable “pattern” of life (“the tradition … received from us”), and that this pattern can be seen in concrete behaviors, especially around work, receiving support, and not becoming a burden (explicit text).
Paul also ties authority and example together. He does not only tell them what to do; he points to how he and his coworkers lived among them as a model to imitate (explicit text).
Where interpretation differs
1) What “withdraw” involves. Some read it as a relatively strong social break (a form of exclusion from ordinary fellowship) meant to create a clear boundary. Others read it as limited distancing—reducing close association while still treating the person as a fellow believer. The verb itself is brief, so readers infer how strong the boundary is from the wider context (inference anchored to “withdraw yourselves”).
2) What counts as “disorder/rebellion.” Many think Paul mainly targets idleness and living off others, since vv. 7–9 highlight work, “eating bread,” and avoiding burden (inference from the given example). Others think Paul is speaking more broadly: any lifestyle that rejects apostolic instruction, with idleness as one prominent case (inference from “not after the tradition”).
3) What “tradition” means here. Some understand it as specific practical teaching about work and economic responsibility (narrow). Others take it as the larger taught way of life they “received” from Paul (broad). Both are trying to match “tradition” to the example Paul emphasizes in vv. 7–9 (inference anchored to the term and the example).
Why the disagreement exists
Paul’s command is clear (“withdraw from every brother who walks disorderly”), but the passage does not spell out the exact social form of “withdrawal,” nor does it list all behaviors included under “disorder.” Instead, Paul gives one major example—his refusal to take support in a way that burdened them—and that pushes interpretation to decide how wide the category is.
What this passage clearly contributes
The text portrays church discipline (at least some form of distancing) as one response to persistent refusal to live by the received pattern (explicit text). It also shows Paul using his own conduct—working hard, not taking “bread for nothing,” not burdening them—as a deliberate teaching tool: he had a “right” to support but chose not to use it so the community would have a visible model (explicit text).