I thought so, considering the typical results of bucket brigades. Ah well, it's only a matter of time until I breach the underground river somewhere in the map.
Dependnig on whether rain ever occurs (I suppose it should), you might be able to build 'slurpers' (either actual pumps or just a system of floodgates or overhung drainaways) that take the slightest bit of water and immediately conveys it out of the open air.
Noting that you should avoid letting it sit as a couple of (or more) 1/7th depths if you can have 2+/7ths in a spot (to this end, use your hydrodynamic wiles to dump it into a 1x1 wide 'well-shaft'[1], capable of receiving as much water as you'd want, but only ever having one possible 1/7th height at the top[2] that might disappear, the rest being happy to sit there.
If your pools
do significantly fill, albeit seasonally and transiently, then they could be connected to subterrainean water-repositories via hatches/other gates operated by pressure-plates, but you could end up 'chomping' more of the water than if manually operating in an optimal manner.
(At least that's how I often try it, but when the rainfall is very low it's rarely that easy, so not sure if it works better or worse than other methods.)
[1] With a gate at the bottom to release the column into a large chamber (not too large for the column, lest is spread out too thinly) if/when you find you have enough, and possibly additional successive gates and additional successive chambers so that if each further stage fills sufficiently you can give it even more room. But that's probably too optimistic.
[2] Not sure if 1/7th water above a body of other water is immune or not to evaporation, I don't usually let it stand long enough to find out.