For several of your cases climbing rope is totoo thick. You will not want to carry 10 kilo (21 pound) (that is likely heavier than the real rope, see comments) of rope on top of your outdoor gear in case you might need it, where a spool of 1 kilo, (about 2 pound) (which is also likely to be heavier than the real string) of specialist string will do and likely do better as you can more easily get it thrown to the victim over water or swamp.
And as indicated in the comments on the first answerfirst answer, climbing rope is not really suitable for heavy pulling as a car can do.
On top of that, many places that use and discard climbing rope will not let people have usefulluseful lengths as they fear that it will be used for climbing again.