Well yes, but if you pump the water in, it will probably block the grinder from being used for the other types. And even though I have multiple grinders, I prefer to have them all available for all types - while I can't process one ore type in more than one grinder in parallel due to AE's limitations, I can for example process iron in one and coal in another, both requiring water. Or gold in one and silver in another, both requiring mercury.
That is the main reason I just went with the cell method for all three types. And then there's the fact that the tanks are on the other side of my facility
If one has both a specialised cell in the bottom slot, and wAter in its internal tank, and someone puts in an ore that can be used with that cell for better results, it will give this higher priority than the water.
However if you put something in that doesn't use that cell type, it will default to the water.
So for example, if I have mercury in the bottom slot, and put Sheldonite in, it will use the mercury cell, however if I put in something such as iron, it uses the water from the tank.
So one can have their mercury grinder ( which normally runs off rare ores) also process say redstone ore, or something.
The grinder is smart, and priorities cells.