*Since I was writing a response while you were finding the answers, I'll go ahead and leave it. lol I'm sure others have various responses that provide varying reasons to share or not share. It's a good thread since it will benefit others as well to read the various opinions.*
It sounds awfully restrictive to make the one wearing the computer be below the one not wearing the computer on every dive (since multiple dives is where they really pay off). The reasoning behind having your own computer is that you and your buddy won't dive the same exact profile, and it's unlikely one will stay below the other the entire time. That being said, I hear what you're saying about following the guide's computer (though the guide is likely to dive conservatively since the guide also will not be below all other divers all the time).
Is it safe to share a computer while making conservative dive profiles? Probably. But why not see if your LDS rents computers? That way you also have more protection if one of the computers fails for some reason (low battery, etc.). You can dive without an octopus and still share air, but it provides added safety. Having each diver use their own computer is somewhat similar. It's just all around safer...especially if you're doing multiple dives and getting anywhere near NDLs.