You would get a far better frequency response from Anandas in stock form, as well as better comfort due to the more lightweight construction and cup shape.
LCD2s on the other hand could be potentially more capable if you are willing to EQ them (stock FR sucks like most of the Audeze headphones). In addition, the build quality and materials are far beyond the Anandas' at the expense of significantly more weight, but the comfort is not bad ultimately.
Both companies have a questionable record in their quality control, with Audeze lacking some manufacturing consistency in the past and Hifiman with blatant failure rates even today. On the positive side, they both seem to provide good attention in case things go wrong.
Having say that, as a former owner of an iSINE 20 and LCD2C who currently owns an iSINE LX and plan to purchase a LCD2 Fazor in the future, my bet goes for Audeze, but mainly because I'm completely pro-EQ.
Just love the Audeze planar bass and slam.