Both the EF and stone options are good. It really comes down to the choice of ease of use versus sharper edge. Both options will give you sharp knives. The Edge Faux/Pro is easy to use, makes it impossible to fuck up, and gives you the selection of stones in case you ever need to fix an edge/re-profile/whatever. The stone will give you a sharper knife with good bite, and teach you a worthwhile skill that becomes quick and easy once you get used to it. Easier to use (IMO) with big knives (>240mm) as well, because you don't need to be moving them around on a frame. Don't worry about the addiction side; one decent stone is all you need to keep your knives in good working order. Some crazies will go 320/1000/5000/10000 to get their knives sharp. The difference between using four stones and using one is probably <10%. My little Tojiro petty is sharp enough to shave my arm hair with after the 1000 stone. Extra stones are more for polishing the edge and removing scratches than actual function, or for specialist tasks like removing a burr on a single bevel knife.
Two recommendations from me. Blueway Japan sell a 1k King stone with an angle guide for about $40 shipped. Similar enough to the EF to give it serious consideration, IMO. Carba-Tec were recommended to me by Pj too, they used to sell King stones but they seem to have a house brand now.
Also, if you can find a pair of old jeans, cut a length of denim and wrap it around a piece of plastic or pipe. Use it to strop your knives once they're sharp. It's gentler and less likely to chip the edge on Japanese knives especially, particularly if you're used to going heavy on the steel.