The question was the common statement that every dive is a decompression dive. Is that true? The answer is, no, it is not true.What's wrong with saying so? Please be precise.
When we use a language, we have to use the language the way it is intended and understood. When Shakespeare wrote Romeo and Juliet, he had Romeo try to stop a fight between Mercutio and Tybalt by saying that their argument was "nice." In those days, "nice" meant "silly." We don't read that play and shout out, "You are wrong, Shakespeare, because 'nice' does not mean "silly!'" We instead accept that as the word "nice" was used by the general population of the time, it meant "silly."
Similarly, as the general diving population uses the term, "decompression dive" is a shortened version of "dive that has required decompression stops." That's what people mean when they use the phrase. For the general population, the word "decompression" in that phrase means "required decompression. stops." That is what is intended, and that is what is understood.
When you say all dives are decompression dives, you are saying instead that "all dives include decompression, but not necessarily decompression stops." That is a different meaning than what others intend and understand. You are misusing the language and confusing meaning.
But the difference is greater than just language. When a dive profile reaches the point that decompression stops are required, it becomes a fundamentally different dive from an NDL dive. If a diver gets to within a few minutes of no decompression limits and begins an ascent, there does not appear to be any limit on the ascent profile, as long as the diver does not linger deep enough long enough to violate the NDLs. It is possible for a diver to spend 80 minutes on the ascent and still go right to the surface at the end, although a safety stop would be a good idea. Once a diver violates NDLs, it is a different story. Ascend too slowly and/or spend any time at an intermediate depth, and the depths and times of any required decompression stops will change.
In summary, when people speak of scuba dives, they use the phrase "decompression dive" to describe a dive with required decompression stops, and in that context, saying that "all dives are decompression dives" is incorrect, because not all dives require decompression stops. Next, there is a fundamental difference between a dive that requires decompression stops and a dive that does not, and lumping all together as if they were the same is simply incorrect and creates confusion.