In my opinion, this is not a standard RF issue and trying new cables is not going to solve it.
Even with a standard mains-hum type RF issue, changing cables is unlikely to be a solution: despite the hype about “expensive cables”, the practical difference between a $10 cable and a $100 cable (or a $5,000 cable) is negligible.
The main difference between cables is in construction quality/ruggedness and (as the price goes up above $20 for a 1.8m cable) how much snake oil the buyer is thirsty for!
Listening to this, it sounds like some sort of interference caused by something transmitting, something that seems to be sweeping up and down frequencies.
It could be being picked up by your mains wiring in which case trying a UPS or powering from battery is worth trying. But in that case I highly doubt it’s anything actually wrong with your mains wiring, although you may still be able to solve it with a UPS or other mains filtering device.
If you are using a laptop and your audio interface is USB powered, try connecting the guitar directly into the audio interface and disconnecting the power supply from the laptop so it’s running off battery. If the sound stops, then it’s coming through the mains. If not, then it’s nothing to do with the mains.
To me it seems like something is transmitting and there’s a fault with that device which means it’s signal is spilling out and transmitting on the wrong frequencies, which is being picked up by your amp/AI (either through the guitar wiring or mains wiring).
If disconnecting the laptop from the mains doesn’t help, I would suggest disconnecting any wireless transmitting devices in your home including wifi routers, DECT phones, bluetooth systems, etc. and checking if this stops the issue. If not, then it’s something outside of your home (possibly a neighbour) and I’m not sure what you can do about that.
One question: does the sound reduce if you turn down your guitar volume?
Cheers,
Keith