Yes, the diagram is essentially correct.

Explanation:
- Stack order along the central axis, top to bottom, matches how a standard
  (Bodum-style) French press goes together: knob, lid, plunger rod, filter
  assembly, glass beaker, frame/handle.
- The knob threads onto the top of the rod, and the rod passes through the
  centre bore of the lid. The rod is drawn threaded at both ends, which is right.
- Filter assembly order is right: the spiral plate is on top (its spring coil
  rim seals against the glass), then the mesh screen, then the cross plate,
  which clamps the mesh up against the spiral plate. The retaining nut at the
  bottom threads onto the rod end and holds the stack together.
- The beaker's spout and the lid's pour notch both face right, and the frame
  handle is on the left, opposite the spout. That is the correct orientation.
- The beaker drops into the frame, which has a base and feet.

Minor nitpick (labelling, not assembly): the "3-piece filter" bracket also
covers part 7, the retaining nut. The filter itself is three pieces (4-6), and
the nut is a separate fastener. That is a small labelling inaccuracy, not a
mistake in the parts or their order.