It does not seem particularly useful at this point to speculate about phenomena that either a distributional approach or a logic-based approach would not be able to handle in principle, as both frameworks are continually evolving.
logical and distributional approaches clearly differ in the strengths that they currently possess (Coecke, Sadrzadeh, and Clark 2011;Garrette, Erk, and Mooney 2011;Baroni, Bernardi, and Zamparelli 2014).