FWIW, A computer puts off a LOT of EMI.
If the amp (or guitar) are in close proximity, you're going to hear noise.
Some models will pickup more than others. High Gain will typically be more noisy.
This was way worse when we were all running CRT monitors.
Single-coil pickups will (as you'd expect) pickup more noise.
Some guitars will also pickup WiFi related noise (if the router is close).
Wireless mics can also pickup WiFi related noise.
If you play live (where digital mixers controlled via tablets are all the rage), you'll likely experience this.
The stuttering noise matches the flashing LEDs on the router.
The solution is to separate the wireless mic receiver and Router (the more distance the better).
You need to separate the guitar amp and the computer.
Wireless keyboard, wireless remote control via tablet, controllers like Fader-Port/Machine/Komplete Kontrol, etc... can be used to control your DAW's transport (allowing you to put distance between the amp and computer).