For longevity absolutely, for kinking probably some but not as much as the bending radius. Honestly it's not often done in construction (we're talking slings here, not winch line which is almost constantly oiled), they just get new slings a bunch more than they need to. Wire rope is a moving machine, when loading and bending all the wires are rubbing on themselves all the time. Oil is needed to lubricate it, which is why you still see natural fiber core rope, since it holds more oil. Slings are usually made from natural fiber core rope, and will hold oil well.
I'll get a pic of the ones I'm talking about, they hold up pretty well.
3/4" x 20 ft BLP-138 Sliding Choker Wire Rope Sling - 6600 lbs WLL | Buy Online | Lifting.com
www.westechrigging.com
Wire core one, you can get them locally too and with a fiber core so they're more flexible. They come in several varieties, but the sliding hook thing is the big difference, since it gives a better bending radius than a shackle. I have several of this type, and preferred to use a pair when moving pipe bundles in a fab shop setting, since you never have to unhook them from the crane (speeds everything up since you are moving stuff as fast as possible). In a pipe shop they were abused to the nth degree, often pulled out from under the load against other pipes when loading stantions, choking small diameter pipes, pulling bundles together which makes it slide the on the sling under load, etc. Over time and likely from choking smaller stuff they would develop a slight memory and be permanently hooked, but never bad enough to bother me, and we used them all day everyday, often where one guy simply ran the crane all day long flying bundles and completed spools around to the different work stations and loading semi flat beds from the staging areas. The ditch crews used them a ton too, in fact they turned us on to them, and they abused them even worse than we ever could lol. If you had some built in 36 strand rather than the standard 6x19 they would work even better, and i would think they would be amazing in a cable laid type like the first video.
Also what diameter wire rope slings are you using? If you are using a much larger diameter than is needed they will actually kink more than one sized for the load, because the bigger the diameter the bigger the required radius.