this spoon cut out seems not to be something that I can find on similar pieces in the books (that's not to say categorically it can't be found) - and my own three examples of covered jars/urns are without this feature, although I suspect they're possibly too large and maybe for sweetmeats instead - although I do have this feature on what I believe is a late Georgian/Regency mustard pot.
My two examples of late Georgian/Regency preserve/jam containers have lids without cut outs, and to the best of my knowledge my examples are British - regret I'm unable to comment on the designs of similar Continental table wares.
I'm wondering if this facility for a spoon on jam/preserve pots was more of a Victorian innovation - but not sure.
According to Wilkinson ('The Hallmarks of Antique Glass), these sixteen point stars occurred around c. 1830, and no doubt existed for a decade or two overlapping with the succeeding 24 point star - and copied at various times since, so not a feature to provide authenticity of period.
Having looked at some of my stars on known earlyish C19 pieces, my personal take on these pix is that the arms are possibly too narrow and pointed, and they're not sufficiently 'touching' in the area toward their centre.
One aspect of the making of stars, which should indicate period is that.................. earlier mitres were made with two passes of the wheel - hence one side of the arm appears longer (i.e. the point is assymetrical) - and if the points are too good looking then this is a POSSIBLE indication of later production.
As we've already discussed, on its own the degree of wear on this item isn't adequate to take it back to the period you suggest, so not something of help on this occasion.
Regret we're not really any further forward on this one, and you may have to live with some doubt, permanently.
P.S. Pix are an improvement, but can be even better by omitting hands and busy backgrounds.