Inkwell by Omega Watch Co. 1906 GrandsPrix

[omegacuriouse]

I hope this is the appropriate area for my inquiry. I've searched online over the years, contacted Omega Watch, several antique appraisers, National Inkwell Society and recently referred to Sotheby's auction valuations. I've never seen another one.
It's been mine for 35 years and my mother's before that.
My best guess is that it may be an 'entry gift or door prize' for spectators the 1906 Paris Grands Prix , as Omega had been official time keeper in all sorts of events.
Any information will be appreciated. Thanks

Edited: Jan 21, 2024