Use pumps to fill tanks. Read the FAQ entry on pressure which may make more sense to you now that you can see tooltips. It's not a huge deal once you understand it.
I don't think you've had a lot of time to mull over the gameplay implications of pressure since you've only been able to see what the pressure of pipes or tanks are for less than an hour. I'm sorry that happened to you with tooltips, but the mod doesn't do anything unusual with descriptions, so it's not Nullius doing anything weird. The only other time I've heard of someone having a similar issue, they had the option turned off.
Higher pressure allows tier 4 pipes to have much higher throughput than vanilla pipes. Each tier of pipe delivers more fluid than the last. The builtin Factorio fluid system has few parameters to work with to increase fluid throughput. The main way to reliably increase fluid throughput in the Factorio fluid simulation system is to increase fluid box height. Increasing the fluid box height has side effects which are explained in terms of pressure. Can't abandon pressure without abandoning the concept of different tiers of pipe, which would have lots of other effects.
The way the system behaves is quite predictable and not hard to work with. Now that you know what the pressure of different pipes and tanks is, it will make more sense why a 40% pressure pipe only half fills up an 85% pressure tank, or what level of that tank different valves will operate on. Valves also operate on different pressure levels, and the valves will be very important to handling fluid byproducts. Once you understand how to use them, valves give you a lot of power to control complex interactions between different processing producing or consuming the same fluid.