Sky Club access on a zed/nrsa ticket?

I've been reading about DL's new Sky Club at JFK T4 and am very interested in checking out the outdoor Sky Deck by buying a 1 day pass. One of the rules state that one can "only use the Club in conjunction with same-day ticketed air travel". Would travel on a zed ticket count as ticketed air travel or are non-revs not allowed in the Sky Club under any circumstances?

I have an AA Admirals Club membership and never have a problem using it when non-revving. Thanks!

If an employee or retiree is able to purchase an annual membership to the Sky Club I don't see any reason for that person to be UNABLE to purchase the -1- day pass. If the pass is purchased with a Delta/American Express Reserve Card or a Platinum American Express access to the Club is included in that membership category. One qualifying factor would be having a Delta Sky Miles Account. Other readers/posters comments ???