I think the intention is good but the execution is improbable.
Situation: Let's say I have a Gibson/Martin/Acme instrument from the 1930's through 1970's with unobtanium inlays or pickguard.
How do I prove what material they are? Where they were sourced from (when I probably don't know)? How do I even know what products might involve me in this issue?
I can't see most musicians knowing enough to take appropriate action, or going to the trouble.
Although the current status is indeed ludicrous and completely unworkable: "At present, musicians whose instruments contain internationally regulated wildlife products — many of them built long before CITES was established — are supposed to get export permits or certifications from every country they visit."
The good news to me personally is that I don't need to worry about it. If I travel to another country I'm either working or on holiday, and in neither case am I going to take an instrument along.