Is drawing needed for modeled threads?

If the thread is standard, we don't recommend modeling it in the CAD provided and instead calling it out in a technical drawing. Threads have different sizes and classes, which relate directly to how the thread will be manufactured and inspected. Modeled threads may not fully incorporate the nuances of a manufacturing process; even if we have the right die or tap for the thread, it becomes a mess to chase if already formed. In your drawing I see no clearance between male and female thread features. That's not the reality of good thread design, as clearance is always necessary, and features must have tolerances. Again, this is a good reason to call out the thread requirement on a drawing so there is something to inspect against. If this is a 3D print I would recommend modeling coarse threads, especially if they are custom, but also incorporate adequate surface offset to compensate for the selected process.