Does Ring Doorbell Elite need Power Kit if there is already PoE+ on network?

Does a Ring Doorbell Elite need the Elite Power Kit installed if there is already a PoE+ switch on the network which supplies enough wattage for the doorbell thru the ethernet cable? I have installed the Elite doorbell without the Power Kit and it is working fine but I can only sync it to my network over wifi and not over the ethernet. I am trying to figure out if this is a network issue or if it is the fact that the power kit is not installed.