Why do my PS4 controllers only work in close proximity to the PS4?

For some time now I have had the problem that my PS4 controllers (3 pcs.) only work in close proximity to the Ps4. If I step away from the console, the connection will be instantly disconnected. I've tested several controllers. All controllers have been completely reset. The same problem now appears on my 2nd Ps4. Does somebody still have an idea? I'm slowly desperate.

This is really strange because it is difficult to find out where the problem is, either by chance both Ps4s have the same problem or three controllers 🤔

Maybe you can figure out a fact that is common to all combinations, that might sound stupid, but that's the only approach you can take