The Galadhrim does not only refer to the Silvan Elves of Lorien but to all the Elves there, which would include Sindar and a few Noldor. Note, the HoME index is rather unhelpful here. However, this is clearly the case as Galadriel calls Celeborn Galadhrim.
Source: FotR, 2007 p. 463, spoken by Galadriel: "If our folk had been exiled long and far from Lothlórien, who of the Galadhrim, even Celeborn the Wise, would pass nigh and would not wish to look upon their ancient home, though it had become an abode of dragons?".—Unsigned comment by Glorfindriel (talk • contribs).