While I believe most people would, all other things being equal, prefer an 'all natural' encounter, all other things are not equal!!!
You see those tiger shark shots that Diver 85 posted? Well, don't hold your breath (diving or otherwise) waiting for shots like that when 'one just happens to wander by.' If you want reliable, close encounters giving you a good look at the sharks, especially 'in action,' on a given trip rather than diving hundreds of times and eventually getting lucky, then you might be a candidate for a shark feed dive.
Now, if someone really believes watching a skittish 4 feet reef shark swim by about 20 or 30 feet off and swim away fairly quickly 'naturally' is a somehow superior experience to having a fed 14 foot tiger shark come in close, okay, to each their own.
I haven't been on a shark feed dive as yet. I hope to be one one someday. I enjoy seeing sharks 'all natural,' what few times that's happened. But I'd like a better look at some of the big boys.
Richard.
P.S.: Non-fed dives are not all-natural, by the way. Weird looking bubble blowing aliens in their environment often freaks out marine life, and sharks often react with guardedness, at times even fear, to divers. So even dives where chum/bait aren't used are not 'natural.' The sharks can sense and react to you, and probably do, so what you're seeing is still altered by human meddling.