Yes you are correct; 'wet' and 'contaminated' wet is differentiated by whether water is pooling on the runway.
Therefore, wet is not considered contaminated; contaminated is snow, slush or standing water.
In a wet (and dry) scenario your are considering how well you can brake on the runway remaining following an engine failure; i.e lower your V1 as it is safer to go than it is to brake to a stop (generally!!).
In a contaminated scenario you are concerned with how well you can accelerate from V1 following an engine failure; i.e higher V1 as it is easier to brake to a stop than it is to accelerate to rotate.
(simplistic, but pertains to the original question! When you start talking about maximising takeoff weight you are opening a whole new set of considerations)