I looked at that report from the test lab. In the 5 test cases, it shows real power (kW) staying the same in case 1, increasing in cases 2, 3, and 5, and decreasing in case 4. In the "Conclusion" section it states, "In most cases the real and apparent powers were reduced while the power factor was shifted closer to 1.0." Huh? The test results show the real power increasing in most cases!
For case 4, I suspect that the reduced power is due to a reduced output of the motors and/or fan. Nothing in the test report indicates that they did anything to measure the power output of the motors or fans.
If you want to reduce your electric bill, spend the money on more efficient appliances and lighting, or just reduce your usage of your existing appliances and lights!