No, that is most definitely a tub spout that water comes out of and the round disc your see at that angle is the pull diverter. The original design of the Oxygenics Body Spa did not have a push button pause - that's a newer feature. The original has a twist on-off at the base of the head. You can buy the pause buttons, but only in the white and chrome finishes, separately.
It is possible the prior owner adjust the diverter to be closes always so the shower is on all the time, but you can change that.
This is the model: http://www.addoway.com/viewad/IAP-RV...04226W-2738300