Please don't take this the wrong way, but if you are under the impression a solo diver "cert" is "not rising to the level of a Master SCUBA cert," you may not have a full grasp on what solo diving entails. A Master Diver card is a marketing incentive invented by the recreational scuba industry to keep people engaged in diving. It's a freebie they send you in the mail as soon as you hit your 50th dive - which, incidentally, is 50 dives short of the minimum requirement for Solo - and says nothing whatsoever about a diver's skill level.
Solo diving, on the other hand, is not a "cert." It's a mindset, a philosophy, a set of skills acquired the hard way, without taking shortcuts.
I may be completely mistaken, but your post sounds a bit like what mainly draws you to solo diving might be a desire to be "different, on the contrary, and for the sake of adding another cert card to the collection." None of these motivations are good motivations for solo diving IMHO.
As for the specific questions:
Why would you get a solo certification? Because I enjoy diving by myself and want to do it as safely as possible; I'm an underwater photographer; I realized a long time ago that 90% of buddy teams, including me at the time, are in reality solo-diving; As a divemaster, I dive solo a lot, even when I'm with other divers.
Will it change your diving? Yes, it did. Perhaps not so much in terms of diving behavior, but definitely in terms of problem-solving approaches, mental rehearsing and above all, equipment configuration. As a matter of fact, I dive in my solo outfit even when I'm diving with a highly trusted buddy. For example, I never dive without a fully redundant air source and multiple cutting devices.
Will it be status symbol? No. I believe that the types of guys who view anything diving-related as a status symbol are those that are more likely to get hurt or die.
Which organization will you get your cert from (if you are getting one, that is)?
Again, sorry, but if you have to ask, there is your homework assignment.