That does not work because Digital Single Lens suggest a built in lens not an intercheangeable lens type.
You need to remember that Single Lens Reflex meant that you focused and shot through the same lens so it was a Single Lens-Reflex not a Single Lens Camera.
Yes, this is the way.
If we don’t want to define it by what it is not, then not only is “mirrorless” meaningless in the future when they are all mirrorless, the term “SLR”/“single lens reflex” is already a second layer of vestigial meaninglessness that was already outdated years and years ago.
Ask most photographers today why they were called DSLRs and they might say something like “because they’re like film SLRs, but digital.” Ask them next what SLR was all about, and many photographers, particularly the younger ones, will not be able to explain it properly.
SLR was called Single Lens Reflex not only because it was a reflex camera (you see exactly what you are shooting), but because it only had one lens! At the time the term SLR became popular, SLR was itself a comparative term against…the standard pro camera at the time, the Twin Lens Reflex, two lenses. So the new unconventional ones were Single Lens Reflex.
Both “Single Lens” and “Reflex” were names to tell you it was NOT the prevailing standard.
Now we want to say “Mirrorless” as another term to say it is NOT the prevailing standard.
Now all those terms are silly, because the standards you were supposed to compare them to are all gone. Non-reflex cameras and twin-lens cameras are no longer there to be compared to, and mirrored digital cameras are up next because they are becoming extinct.
So there is strong logical support for “ILC” as the best way to go forward. With a few exceptions, what distinguishes a “serious” digital camera today is the fact that you can change the lens. Whether it is single lens, or reflex, or has a mirror, are either not important or no longer meaningful. What is meaningful is that the lens is interchangeable. Interchangeable lens camera. ILC.
(Now, about “single lens”…if you wanted to be pedantic, it is possible to argue that saying “single lens” might be relevant again given that more and more smartphones now come with an array containing 2, 3, or 4 lenses, just like the multi-lens film cameras of old….

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