The content of "Memory Alpha," like many Wikis, is not always entirely accurate so take what you read there with a pinch of salt. The designations given to some of the new movie uniform variants in that article the don't seem to be entirely correct.
Forgot to add these into my last post above:
Rank insignia from Star Trek
the original series and from the 2009 movie.
Bear in mind that BOTH of these show extrapolated insignia for grades not conclusively seen on-screen. The original series insignia is only one version that has been floating around for some time and although many other rank schemes have also been proposed to "fill in the blanks" it would appear that this may have been the one used by the designers of the new movie as a basis for the insignia on the updated costumes.
The admirals' cuff rings do seem to be remarkably thin, even compared to the slimmed-down silver cuff stripes of the new operational Starfleet uniforms - but then I guess that the combination of an entirely different uniform and
the epaulette insignia makes the boldness of the cuff stripes somewhat less important.
Overall, I'm afraid to say that I felt that the broad range of uniforms used for various Starfleet roles in the new movie just didn't work for me. I can see design similarities in the construction all the "new" costume designs (ie those never seen before this movie) but they still seem to have little to connect them with each other and even less that connects them with the gold / blue / red operational uniforms that were based on the original series costumes. There's no clear consistency or continuity of rank and other insignia or symbols apart from the use of the various versions of the Starfleet "arrowhead" emblem - and even that is a little dubious. I would have liked to have seen a much better thought out scheme of uniforms and insignia where each individual version was readily identifiable as part of a cohesive whole.
Hey ho, never mind - it's only a movie...!