They are the same thing, except for some foolishness in Wisconsin.
For awhile, I was against this term "cable restraint" but upon further consideration I'm not so sure it is a bad idea. One might consider this to be similar to the terms "leghold" trap, and "foothold" trap. I insist on using the term foothold, because it is more descriptive of that device, and it is more politically acceptable to the non-trapping public - particularly given the past concern over animal's legs. So I don't want to appear to be too hypocritical in opposing the term "cable restraint".
However, for the Wisconsin DNR to use the term "snare" and
"cable restraint" both
in promulgating their regulations is just one more example of the silliness
with which typifies this project. I don't know if these people were trying to be cute or cleaver, but they achieved neither. What they have done, however, is confuse the trappers, the very people they were supposed to be "helping".
Let's turn this back around and use the foothold/leghold terminology. Let's write a regulation that says "legholds" can only be used in water at a lethal set, but "footholds" can be used on dry land in a restraining set. Are you beginning to see the siliness in this? Oh sure, we could (and many places do) limit the size of a foothold trap that can be used on land, but if you use a bigger trap in the water it's still the same kind of trap!
Yes, the "cable restraint" has different requirements in these regulations but it's still a snare!!
And, you give me one of these Wisconsin "snares", and a clear non-entanglement situation in which to set it, and presto-chango I'll make it into a cable restraint without doing a darn thing to it!
So all this cable restraint/snare hokum has done, is confuse people. One term or the other would be fine, not both.
Here is the bottom line, a foothold trap can be used in a lethal manner (in a drowning set) or it can be used as a restraining device - so can a snare.
A "cable restraint" is supposed to be a non-lethal snare.
(Footnote: These Wisconsin regulations are about as much fun as syphilis. And in my opinion are worthy of being contained in a like manner.)