That's really the point here. The circumstantial diversity and variability in each theater of the "world wars" is so great, they're poorly understood as one unified global conflict -- and far better as simultaneous major regional conflicts.
Broader context is generally of great value in understanding wider conflicts, which is why it'd be foolish to talk about the Bay of Pigs without reference to the global jostling between USA and USSR. And when that context involves explicit military pacts for specific and coordinated purposes, it's unavoidable.
What prevents that level of understanding, is the romanticism surrounding both conflicts and the gravitas lent by calling them "world wars" in contrast to every other global conflict that occurred prior.
"Gravitas" is lent by the death toll as well as the geographic scope, which utterly dwarfed the conflicts you named.
Feel free to compare and contrast the relationship between World War I and WWII, to the relationship between the Seven Years' War and the Napoleonic Wars, any time. Spoiler alert: same shit, different century
...and different order of magnitude.
As a war which occurred prior to the Industrial Revolution would appear to be in contrast to one that happened after, yes. Relative to the time in which they were waged, not so much. That one occurred before the Industrial Revolution, and the other after and was waged with Industrial-era arms and materiel, in no way denudes the former of its importance, scale, or relevance.
Scale, it very much
does matter whether it was waged with post-IR materiel. That was enormously impactful there; Advances in technology drastically increased the potential scope and deadliness of conflict, and it'd be arbitrary to pretend smaller or less deadly conflicts should be counted as equivalent just because they were
incapable of matching them. This isn't a round of golf where we have to accommodate a handicap.
"Importance" and "relevance" are ultimately subjective qualities of course, and the Spanish conquests were of greater direct importance to a South American than WW1.