In 2012, the molecular structure of a new, broad class of ice-binding proteins, classified as "domain of unknown function" (DUF) 3494, was described for the first time. These proteins have a common tertiary structure and are characterized by a very wide spectrum of antifreeze activity (from weakly active to hyperactive). The ice-binding surface (IBS) region of these molecules differs significantly in its structure from the IBS of previously known antifreeze proteins (AFPs), showing a complete lack of regularity and high hydrophilicity. The presence of a regular, repeating structural motif in the IBS region of hitherto known AFP molecules, combined with the hydrophobic nature of this surface, promotes the formation of an ice-like ordering of the solvation water layer and, as a result, facilitates the process of transformation of this water layer into ice. It is, therefore, surprising that the newly discovered DUF3494 class of proteins clearly breaks out of this characteristic. In this paper, using molecular dynamics simulations, we analyze the solvation water structure of the IBS region of both DUF3494 family molecules and AFPs. As we show, although the IBS of DUF3494 molecules does not form an ice-like water structure in the solvation layer, this is compensated by the formation of the equivalent of "anchored clathrate water," in the form of a relatively large number of water molecules bound to the surface of the protein molecule and providing potential binding sites for it to the ice surface.