Meshes fairly well, I think. I had forgotten Carters' creditting of American Indian stick use for machete origins. A very good spice to add to the mix
He does also mention the more usually heard lineage through the "sailors' cutlass" and other european hangers, including dual use types like langenmesser (commonly called grossmesser; props to Therion for diseminating the more correct form, or at least he says so, and he's probably right, but I don't know how the argument goes.....cutlace, cuttoe, there was a Spanish version, too; a dual-use soldiers' and peasants' landclearing sword with a curved blade and wide tip, but I forget the name; I think Museum Rep.s once had a copy for sale). It is worth noting that machetes are said to be commonly called "cutlass" in the Caribean region.
The resemblance to butchering knives is A/intentional, as there has always been a somewhat legalistic claim that machete (as with many large European peasant knives) is a knife, rather than a sword; ie nonviolent ( so strong and persistent is this custom that N American men still regularly tell me "That's not a sword; that's a machete!" Yeah, and that's not a mammal, it's a dog.....the women [of course?] more usually know that they don't know..... ), and B/ only pertains to the overall view of the sword, and the handle design, but certainly the cross-section is different in that machete, even when it does have a slight full height bevel, has a thick, heavy, relatively obtusely angled edge for strength against battering, compared to a butchering knife's thin, fine, acute edge for slashing/slicing.
Carter also mentions the way the term seems to be much more broadly applied and to heavier implements in Spain than in at least N America.
I don't think he's right about machete costeno of the Acapulco region being a post wwII phenomenon. This is the "yelman" machete; also known, I am told, as "cuchilla del costa" or (West) coast knife. We've all seen the engraved ones, I guess, with the saddle scabbards and the eagle pommels, that are so very similar to US machetes of the early 20th, and though production of the horn handled distal tapered, full height bevel machete seems to have gone on longer in Mexico than US, many of them seem quite old. I've an old farmery one, with a different (zoomorphic?) type pommel. The two native ones (I've another with a possibly reshaped Robert Mole blade) that I have both have typical hotstruck Spanish colonial maker's marks; name (personal? family? town?) or initials, as seen on Luzon bolos as well, while the engraving is a later cold process, and this seems typical of Mexican and Spanish colonial work in general? I had a nice little "bowie" though, where there was only engraving "Vivan los Herdez" Herdez is a family name; not sure maker or owner......otherwise it's more often sometimes the other way; hotstruck mark but no engraving, or else both.
We're pretty well on the same page it seems as to the role played by the rise of cheap modern spring tempered carbon steel in the rise of this thin, light sword, which lacks stiffness when softer, though one does encounter softer ones, as well.