Yes, that why they are generally used for load securement, not lifting for pulling.
That's what wire rope is for, in most cases.
In general principle; I agree.. But there are tasks where things may be a bit different::
I have four devices called a chain hoist that were specifically built for lifting.
I have a bunch of various cable winches whose manufacturers state their device is not intended for lifting.
My favorite smaller overhead hoists are small cable hoists with a safety brake. It is easy to mistake these for a common boat trailer winch. They can be bolted to a vertical beam, with a cable running thru a pulley that is bolted to an overhead beam.
My tow straps range from small to rated for pulling semi trucks.
My ratcheting tie down straps see more use than My 10 chain binders.
Can't leave out the rope hoist that is properly called a wire stretcher in some areas.
My cargo sling doesn't get used much, but it does come in handy when I don't want to leave chain marks on a load.
At times; I have pulled out over 250 feet of winch cable to retrieve a vehicle.. Sure wouldn't want to drag out that many chains for a hookup.
I flat out refuse to use a vehicle winch cable hooked to a tow strap.
When towing a disabled machine a short distance, I will generally use a chain OR a tow strap. Chains are easier to hook up to many machines where sharp edges would damage a tow strap OR a cable.
I will not jerk on a stuck vehicle while using a chain or cable, that is what I have tow straps for.
I have never seen a wrecker equipped with chain, rather than cable, on it's winches.
I bought extra cable winches and hoists to mount on My three cherry pickers. The usual chain holds the load; while the winch line can be used to stabilize or level it.
If I have to move a machine an inch or two in any direction; as long as there are anchor points, a couple chains and a ratcheting chain binder will usually move it, slow and easy. The pull ram on My porta-power works even better.
It is easier to adjust the length of a chain; the grab hook will fit any link in the chain. If I caught anyone hooking a grab or slip hook around one of My cables; I would likely hang them with it.