@Andrew: Lemlin already explained a possible limit caused by the mechanics of this mod.
and even without this limitation, vanilla would have problems transporting that much fluid that fast :
looking at the wiki and also following a link to the forums shows that a tankfull can directly be transferred from one tank through a pump to another tank in 2 seconds (best theoretical case, maybe even a hardcoded limit of 200 per tick) or 3 seconds. if the mod that you are using doesn't have faster pipes, tanks and pumps (would that be possible at all with the current fluid system in vanilla factorio?), that would be one possible bottleneck, and even more so if your setup has more pipes between the chemplants, tanks, fluid depots and pumps, down to maybe 1200 per second for a length of 18 pipe tiles or 9 underground pipes. (see also discussions how to provide enough water to big reactor setups that use chains of pumps instead of pipes).
since you want to transport 25k per second, that is three times as much as a vanilla setup can transport. and since slightly more than 100 vanilla chemplants are needed, even 20 times faster chemplants would require you to have 5 of them which causes longer transport pathes, even more so when you also have lots of beacons around each of them. do you have all pipes replaced by series of directly (without any pipes) connected pumps to improve the throughput ?
each single of these effects can easily reduce throughput to a third of what you want to achieve, and all effects combined will cause even less throughput. if you really use 5+ chemplants, you will probably do best with a separate buffer tank or a directly connected fluid depot for each of them, and only pumps and no pipes between them.
this should remove most of the vanilla bottlenecks, and by having 5 times as many fluid depots you also should be able to have 5 times more fluid reserved at the same time to be picked up during the next few seconds by lots of drones.