While hotkeys do generally work that way their meaning may change over time. Here's the current list of hotkeys defined by Windows 10/11. The Logo + arrow keys will tend to snap left and right the active window. The Logo + up/down keys do not move windows up and down in Win11 anymore.
If you want to change this behavior then you need to download an app to allow you to change the hotkeys. Autohotkey seems like a popular choice and here is an article that talks you through it.