As for power consumption, the energy needed to counteract roll on a boat is the same regardless of whether it's a hydraulic or electric drive fin, or a gyro. Granted, there will be differences in the idle load, and I can see how electric actuators might be lowest with fewer parasitic loads. But I'd be slow to judge how much lower.
With a gyro the parasitic load is keeping the gyro spinning at high speed, plus electronic control operation, and hydraulics for the actuator. With hydraulics it's a motor driving a pump, but the pump will not be loaded when idle so motor load would be minimum. With electric actuators there may be nothing more then control electronics power when the fins aren't moving, but I expect there is still a bit of draw on the actuators to hold the fins in position.
Aside from idle/parasitic loads, if one system consumes less power, then it's because it has less righting force, and will be less capable, and should be judged/compared accordingly.
The gyro was, for me at least, the most aestatic solution, after all, you don't see anything sticking out of the boat, but when they told me the power consumption I was shocked. When the boat is not moving it does not take a lot of energy to keep that gyro spinning (perhaps 1 kw for the gyro in the size for my boat), but as soon as the boat needs to be stabilised that quickly jumps to 4 Kw and that meant that my 6.5 Kva generator would solely be used to run the gyro. On top of that, the generator cannot react that fast to changing loads so I would actually run into more problems.
For the hydraulic system it is possible to store some hydraulic pressure, but the moment a disturbance is detected that stored hydraulic pressure get depleted real fast, requiring a high capacity pump to quickly bring the hydraulic system back up to pressure. So that would either be a heavy electrical pump (4 Kw or more) or an engine needs to be running all the time.
I was looking at a trawler (terranova 68) that does have hydraulic zero speed fins (4 of them), but for that system to operate one generator needs to run 24 hours per day. That results in a significant fuel consumption and thus heavy operating cost.
When my fins are not moving they are in the neutral position, which does not require any electricity. If I switch them on or off (when there is no disturbance) I don't see any increase or decrease in the AC loads. Can I move the fins by hand when they are in neutral ? Perhaps, but I never tried, I would have to move the fins against a 2 Kw electric motor and the moment I would try that the system would detect a disturbance and start an opposing force.
The fins in neutral means that the water has equal pressure on both sides of the fin, so no energy is required to keep the fins neutral (the water pressure remains identical after all).
If there is a disturbance it is not the fins that get moved by the waves, the boat gets moved out of the stable position (detected by a small gyro on the fly bridge) and only then will the fins move to counter that disturbance and that is when electricity gets used.
When they start operating I will see an increase in the AC loads, but that differs all the time. The software tells the fins to react faster or slower, with more or with less deflection. In other words it can order the fins to move at full speed to max deflection or it can order the fins to move at a slow speed to full deflection or at full speed to e.g. 10 degrees or at low speed to 10 degrees. That is all decided by the software and it does a great job in stabilising the boat in any type of sea. I can be in a long swell or short choppy sea, the fins will react differently, but the result is the same, the boat is stable at zero speed.
The conclusion that a system is less capable because it consumes less energy is not a correct statement. If you would look at the pure mechanical force required to bring a boat back to stable condition then you are correct. Unfortunately the efficiency of the subsequent systems results in completely different power consumptions.
My electric fins are in neutral when there is no disturbance, but will react when needed. That is an electric motor connected directly to the fins, there is no gear box, there is no shaft sticking out of the boat.
Hydraulic fins have a hydraulic pump which does not have 100 % efficiency, then that fluid needs to be moved through hydraulic lines, which also take a percentage (by expanding and creating friction) away from the efficiency. After that the hydraulic fluid goes into cylinders, moves pistons, creates heat through friction, thereby loses efficiency and then there is finally the gearbox assembly which also takes efficiency away from the whole system.
In the end a hydraulic system may need 20 or 30 % (or more) extra energy to overcome all the inefficiencies, where an electric motor may need 5 % extra energy to overcome its inefficiencies.
But the biggest power consumption is not when operating the system, the biggest difference in consumption is when the system is in idle, waiting for a disturbance. In idle a hydraulic system will always lose pressure, so therefore it needs to be brought up to pressure again. Same is for a pneumatic system and even more for a gyro.
An electric motor on the other hand is just doing nothing, not consuming anything.