Anytime you intend to operate a system that pumps a liquid such as water in a power plant you must have a water solid system or you will end up with waterhammers and pump air binding (as well as other problems). Therefore after ensuring the piping lineup is correct, you "fill and vent," i.e., you fill the system witht the operating fluid while concurrently venting the system at the high points.
Obviously when you want to shut a system down for repairs that require opening the system, you need to drain the low points. This is almost always done with the vents open to faciliate (or even allow) draining.
Another reason for a solid system is mentioned above, i.e., to ensure that the hydro test is, in fact, just a hydro test and not a pneumatic test which as mentioned above can be very dangerous due to the explosive effect of air when released rapidly when the test fails.
Yet another reason for a solid system is for proper system lay-up, that is to put it in standby when not needed. Removing all the air, i.e., the oxygen, is needed to ensure corrosion is minimized. Sometimes O2 scavengers are used, e.g., hydrazine, to facillitate the process.