It sounds as though one has to actually pull the watch up into position (IF you’re aware of the hinge, which seems to be hidden) in order to see the back of the watch, to find the Vasheron Constantine name. And that name might actually be pretty distracting in itself, rather than helpful. A layperson might presume the whole item was made by Vasheron. Not too big a leap to imagine a company that makes wristwatches and pocket watches to this day might have ventured into making a decorative little clock made to look like a Faberge egg. It might be assumed to be vermeil (gold layered on sterling silver) which is way more common and less valuable.
I haven’t seen any shots that include the Faberge hallmark but I’m assuming it’s small and/or obscure because I’ve seen a fair few pictures of this egg now. Not many of the eggs retain their original cream colored silk velvet carrying cases (which are gorgeous little artworks by themselves) but if I remember correctly they include catalog numbers and identification inside a panel. This one doesn’t have its case, apparently, which would have made its identity clear.
That big honking diamond in the front would have given anyone pause, however.
Hard to imagine anyone seriously considering melting it.