IMO, other than radio stations, the noise you usually hear is 60 cycle off the powerline.
Most amps have filtered power supplies and using an outboard filter does nothing until you get into high dollar units and even that is marginal. (I did use a powerline filter on an old furnace condensate pump but that was because the pump was junk. A new pump solved that problem)
While I can't explain it, I have seen shielding help to a limited degree with 60 cycle hum.
BY the way, 60 Hz is well below the "E" field which means that if you were truly trying to filter an RF signal at 60 hZ, you would be in the "H" field or magnetic field.
It takes ferrous metal to isolate this but not a big deal as the amplitude of the signal drops like a rock with distance.
So you're saying the 60 Hz hum is magnetically induced?
How is this different from the electrostatic noise that can be shielded against?
I've been trying to get my head around this literally for years now, but recently (since I got a bass with single coil pickups) it's more relevant for me.
Humbuckers solve my noise problem at home, with one exception, a Mexican Fender Blacktop. I'm not sure if it was because the humbuckers were overwound or what...
The humbuckers in my SRX (SR eXtreme) & my guitars are nice & quiet, but the noise doesn't seem to be exclusively 60 Hz hum.
I did some experimenting with my Ibanez Premium (with the Big Singles).
First I tried quieting the single coil noise by touching the strings, doesn't work, nor does touching a grounded switch on the bass (this is with only one pickup selected). I did discover that there's 200 Ohms of resistance between my bridge & the output jack, and that the coating on Elixir strings is definitely not conductive. Thoe strings are surprisingly well insulated.
That's another issue that I'm going to try and figure out tomorrow, the 200 Ohms of resistance
At least I know the switches are grounded, because if I have both pickups selected & touch a switch there's definitely a drop in noise.
If I face the bass to the South or North the noise is at its pinnacle, but East or West & it at its minimum. Luckily I play facing East, Feng Shui & all

To try and see if any of the noise is from the power, I disconnected the UPS that feeds my amp from the wall, after I turned off my computer, speakers, & monitor.
Flipped on the amp & tried the same touchy feely stuff, no change. The directional bit still remains the same as well.
Now, it did occur to me that the battery power of the UPS is being inverted to the same 60 Hz that's coming from the wall outlet, so...
how could the noise be directional if it's coming from the power?
The strange thing about running on UPS power was this,
if I put my hand over a pickup, even with both selected, there was extra noise.
It was picking up static electricity from my body, but oddly (& luckily) doesn't do that under normal power.