In this paper, we extend a traditional robust data-hiding set-up with host state at the encoder to a case when a partial side information about host statistics is alsoavailable at the decoder. We demonstrate that the knowledge of host statistics at the decoder can relax the critical requirements of random binning-based methodsconcerning attack channel statistics at the encoder. We also analyze performance improvement of some known data-hiding methods showing that they are particular cases of the generalized set-up. Finally, we consider some related open research issues and future possible extensions.