I am probably not going to use it myself, simply because I don't want to be swayed by other people's opinions of any given comment.
Unfortunately, even without visible comment scores there's still some indication of how many votes a given comment has received.[1] But if you don't want to be swayed by the herd, not seeing comment scores is still a step forward.
The only disadvantages of not seeing comment scores I can think of are that without them the reader would be less effective at using the "wisdom of the crowd" to gauge the relative worth of comments, and his curiosity wouldn't be satisfied.
This debate has been done to death, but I will not be using this because I think the existing UI features give me all the value I need. Most importantly, the way severely downmodded comments get grayed out.
Beyond that, I don't personally care whether a comment is +3 or +103. I don't want to miss a nugget of wisdom in a +3 comment. I like all you folks, and I trust you to filter out complete dreck like redditesque attempt to create pun threads, but beyond that I plan to read everyone's opinions and form my own conclusions.
Don't think of it as disdain for your opinions about other people's opinions, think of it as respect for your opinions.