I run my cable/internet through them, too, as most damaging surges come through the phone/cable vs. the electrical grid. Have seen many more computers, TV's, etc. damaged via cable vs. the electrical outlet surge.
Reality is quite different and is found in many relevant details and numbers.
How many joules does that UPS absorb? Hundreds? Destructive surges are hundareds of thousands of joules. Yes, it is a surge protector. And then we include numbers. A near zero surge protector. Probably smaller than that undersized Panamax. It helps to first learn manufacturer specification numbers.
Popular urban myth assumes surges enter on cable. In part because so many do not learn cables and phones already have best protection. As required by codes and industry standards. Protection that has existed longer than any of us. Why then would a surge enter on phone or cable? Wild speculation is based in observations; not tempered by how surges work. Surges do not enter on cable or phone IF that existing and required protection was not compromised.
Most who recommend a UPS do not even know that protection exists. And do not know what to inspect.
A direct lightnig strike far down the street to AC electric is incoming to every household appliance. Are all appliances damaged? Of course not. From concepts originally taught in elementary school science. A current must have both an incoming and outgoing path.
A best and therefore destructive outgoing path may be through a TV or computer via cable or phone line. Incoming from AC mains. Outgoing via cable or phone. Both paths must exist. Damage is often on the outgoing path - a cable, phone, or network connection. Those who know only from observation (also called junk science) falsely assume a surge was incoming on those already surge protected phone or cable wires.
Damage exists because a naive consumer did not earth a 'whole house' protector. No properly earthed 'whole house' protector means a surge goes hunting for earth destructively via appliances. Protection means that surge current must never enter the house. Otherwise the outgoing path to earth (ie cable or phone connection) gets damaged.
And, of course, a UPS does nothing to avert that destructive hunt. If in doubt, read manufacturer specifications numbers. Where is the spec number that defines that cable or phone protection?
Future damage is averted when a 'whole house' solution is properly earth. The most important word here is not "protector". Best protection for cable is a connection direct to earth; no protector.
Important: a protector is only as effective as its earth ground. A requirement not found in a UPS recommendation. Informed consumers learn why an earthed 'whole house' solution is the best quality and least expensive solution.