The problem is purely electrical and related to the lack of proper grounding. Every house has a certain amount of electrical load, not to mention the electrical saturation of the street's power grid itself. The only possible solution is to hire an electrician to install a dedicated power line directly from your home's main electrical source to where your PC and monitor are located, and to create a proper grounding connection both for your house and for this dedicated line.
The ISP is also important, mainly one that provides an MTU of 1500 and does not fragment packets.
I tested this myself. I moved my PC close to the electrical panel. A nearby outlet there is the first one fed by the circuit, along with only one other outlet. The heaviness disappeared. The desync was still there, but the heaviness and sluggishness of my character in several games had completely disappeared.
Because of that, I was able to validate about half of a theory suggested by a user here. I tested it from 6 PM to midnight, both in League of Legends and PES. As I said, the desync still existed, but the heaviness disappeared completely.
Unfortunately, I do not have the financial resources to fully verify my entire theory. This is what I discovered, and this is what it is.
