A couple of different things being discussed here, one thing will be a matter of lowered overall hardness the other will be a matter of alternating hard and soft (weak- in my opinion) layers.
When more modern man, folks who didnt have to actually work the metal to survive, began speculating as to why a person would make pattern welded blades, they came up with this asinine hard/soft layers giving us the best of both worlds nonsense; a blade that was hard and keen but unbreakable. Modern smiths in their pursuit to recreate many of the old blades included this speculation into their research and methodology, and that is too bad. When you add this to the modern obsession with blades that easily bend without cracking or breaking (the opposite of strength) you get reinforcement of many of these erroneous concepts.
Ancient pattern welding was conservation of materials and refinement of the steel. One could get hard/soft zones by working with thicker soft components and welding quickly, and in a world where alloying wasnt even a theory yet, ductile vs. brittle was all you had to work with. Well we have the benefit of around 1000 years of metallurgical advancement that is, called progress. With alloying we can now significantly increase the toughness of a steel while leaving it at the same hardness and sacrificing no strength. Folks who have dumped enough 1018 into their Damascus to drop the overall carbon below .60% have made a blade that will easily bend but is serious handicapped in edge holding and other areas involving strength of the material. I honestly believe that those blades that are maintained as proof that dumping mild steel into Damascus is a good thing, really have not been put to the test to reveal their inherent shortcomings.
As I said a couple of different things are going on here. One is carbon diffusion and the other is interference with that same process. When you dump 1018 into a billet with good hardenable steel, carbon diffusion will begin as soon as the weld is complete, and diffusion is driven by higher levels wanting to go to lower levels until equilibrium is achieved, this in not speculation on my part it is a fact of physical law. At first the low carb layers will absorb the carbon at the outsides and will maintain a soft core but as folding proceeds the layers will get much thinner and welding heat will drive the diffusion much fast. In no time at all you will have went from high carbon and low carbon layers to all medium carbon layers at best.
You can compensate for this and use lower carbon materials such as 203E if you measure out the percentages carefully and overcome the low carbon with high carbon. W2 or 1095 make good partners with such a steel because if their percentages in the billet are great enough they can lend enough carbon to the low carbon stuff and still come out with at least .6% in the end.
Dumping 1018 into your billet does not give you some mythical super strong, super flexible and hard blade, it turns all of your layers into medium carbon, unless you over compensate with the other steel. I just used 1018 in a mix 2 days ago, I wanted exclusively for fittings that would have a subtler contrast and machine like butter, but it all got thrown in my fittings drawer as I would never want to confuse it for real blade materials.
The other thing being discussed here is actually going to the real deal- hard and soft layers, something the ancients didnt despite our modern beliefs. We do this by stopping the diffusion with a barrier. Pure nickel and carbon do not like each other and no diffusion will occur at such an interface. So you can get soft layers in the middle of hard high carbon layers by slipping nickel in between. But be aware that good knife edges that hold up in use are a matter of material strength and ductile materials lack this.
I will not beat on the nickel thing too much since there are too many folks who use it in their steel and love the look of the contrast and would take exception to my suggestions about it. But I have tested the material in many ways and examined how it behaves microscopically, and let me just say this- you will not find any blades stamped with my mark that have pure nickel in them. I have a right to state my preferences.
I agree with Chris, in fact his quote sounds very familiar

I don't believe that you should add any steel to your Damascus that you would not be willing to use as a blade all by itself