I see a few problems (although I agree with Harvey, its not "a bad article").
First, a speaker cone or diaphragm is not "flexible" (at least a decent design minimizes its flexibility), but rather the surround and spider are flexible, which allow the cone to move as a rigid body as much as possible.
While I don't have a problem with calling the voice coil an "electromagnet", the descibed construction is wrong. The voice coil is not wrapped around a piece of metal, but rather is wound on a non-magnetic former that has nothing in the center. The coil is centered on a fixed pole piece in the middle of the permanent magnet (that is drawn incorrectly without the pole piece in the middle).
I think the primary function of a speaker enclosure is really to keep the reverse wave from the speaker driver from cancelling the forward wave. Bass reflex and passive radiator designs are not less precise because of "no air pressure difference to spring the driver back into place", but that the port (or passive radiator) output does not reinforce the driver output the same at different frequencies. This reinforcement is resonant (peaked at one frequency), and a proper design can utilize it to increase the low frequency extension of a loudspeaker system.
my 0.02