If you completely cut a LIVE HOT coax wire is there any damage to...?

Hello. I have a technical and practical question to ask. I am curious. I have had this question to a long time in my mind and never thought of asking it.

If you completely cut off a coax wire with a pair of metal wire cutters in a quick snip motion and at the same time while you are cutting the wire off, the coax cable wire is LIVE HOT (connected between the cable junction box outdoors and your cable modem); is there any damage to any hardware components (cable modem, router, and computer) when you cut off the coax wire?

What I technically is happening to my understanding is the metal wire cutters are making contact between the live solid center core of the coax wire and the outer woven copper/metallic sheathing of the coax cable acting as ground. When contact is made between and a positive and negative polarity, typically in AC or DC electrical circuits, various sized sparks visibly occur and electrical shorts happen damaging electrical components and hardware. I know that the currents are *significantly* lower in cable services utilizing coax cable and likewise telephone services utilizing telephone wire unlike typical household current where you may not see sparks when wires are crossed, but even cutting a LOW current (LIVE HOT) coax cable WHILE HARDWIRED and INLINE with your hardware components damage your SENSATIVE hardware components EVEN negligibly (by a small amount)?

I know when you have cable service technicians over to your residence, they have never told me to disconnect my hardware while they are working with coax cable at my residence; of course, they usually disconnect the coax wires at the live hot connections before they cut into them too.

Any histories, known reports, personal knowledge of hardware damage occurring when cutting off a coax wire with a quick snip? Please let me know if damage will NEVER happen with sensitive hardware components with a quick snip of a HOT LIVE coax cable or yes it does indeed happen if a HOT LIVE coax wire is indeed connected with sensitive hardware components?

Please reply.

Thank you!

@ Dude:

Hello. Nice to meet you.

Yes, I had to be specific. Not you, but I have realized there are people that need a detailed and technical explanation of things.

***

@ Layback, Bear:

Hello. Nice to meet you too.

The cable needs to be removed and the connector cannot be pulled back through the wall's small hole. Yes, the connector was attached AFTER the wire was strung a long time ago.