Olyosha if you have too many Item Network entities in your base it slows down the refresh rate of all the chests/tanks. My way of getting around that is increasing the request amount (chests) or adding multiple tanks. I have found using multiple tanks to handle extreme quantities of fluids works really well no matter how many Item Network entities down.
My Pyanodon base had over 5k network chests and 2k network tanks and handled 5M water demand per minute no problem. My most demanding set up used 8 network tanks to supply enough water. The network items are free and the larger pipes the mods I was using were pretty cheap it wasn't a big deal. That's 40k water at any given moment.
I'd suggest installing a larger fluid pipe mod or using one in a mod that you already have to handle the volume you need. You could always add a water source mod too. I use Dark Matter Replicators for water and oil, it also handles some of my mods items as well. I have altered the files to only allow base resources: iron, copper, stone, coal, water, oil, and whatever base materials the mods add if I can add them. It's very energy intensive though.