Is a "deco dive" a dive where decompression occurs? Then all dives are deco dives.
Is a "deco dive" a dive where a stop is done to decompress? Then all dives with a safety stop are deco dives.
Are only dives that have a stop called a deco stop "deco dives"? Planed stops, or executed stops?
What about dives that were not planed to require a "deco stop" that accidentally have a "deco obligation" according to the divers computer settings but the diver didn't notice it, and ascended without a stop and without DCS? No deco stop was planed or executed, is that a "deco dive." What if her buddy that did the identical dive did get DCS, does that make it a "deco dive" for one but not the other?
The term is somewhat fuzzy, and policing the ways it is used is counter productive to communication. Those that say "all dives are deco dives" are communicating a valuable concept to understand about what is actually happening on a dive. Those that say "dives with deco stops are deco dives" are communication valuable ideas about the practical execution of dives.
Like most words and phrases, it has multiple definitions depending on the usage. Take a look in any dictionary, very few words have only one definition listed.
This is is what I object to:
A common misstatement on ScubaBoard is that all dives are decompression dives.
It is not a "misstatement" it is a different "what is commonly called a decompression dive" than the one you use below, but as you note, it is a
common statement. It is not a "misstatement". It is completely correct given the definition being use, which is a
common (as you state above) definition.
Here you are a little more reasoned, note what I have put in bold:
In reality, there is a big difference between a dive with no required decompression stops and what is commonly called a decompression dive (one with required decompression stops).