Just in the meantime, the image I mentioned on top of this page … I haven't found a catalogue image that shows it well enough. I remember seeing it on an small ice bucket from this period and low and behold, I found one for sale and it is in the same colour as your vase.
The second image you have posted is at VSL called 'cathedral cut', the third 'taille grains-de-sable' or sand cut, i remember Paul mentioning that this is called strawberry cut in English. The last two can be found at different manufacturers though and wouldn't be that specific.
The second and third image in the link show it, the first image on top of this page, well enough I guess.
https://www.ebay.fr/itm/352699239403Again, the shape can be found at VSL with the rim 'festonné' but again, this is not exclusive to VSL. I'm still a bit puzzled about the finish and quality for this period, I would have expected something a little bit more refined, but I guess we have all moments when certain standards slip. The 'palmettes' or fans also for example, at the top and bottom of your vase, finish at different angles and lengths (in relation to the rim at the top and the base), especially at the base. Don't get me wrong, i'm not saying it is a very bad example, it's just these small details that I find important and that can make all the difference. It could be an apprentice piece that was not supposed to be put up for sale and leave the factory but as you can imagine, with 4000-5000 employees at the time, things tended to disappear every now and then.
Just for arguments sake, I have added an image of this shape with a different pattern, available in different sizes.
Edit : I did find a catalogue image of your first detailed picture on this page. Even though it is more square and not as elongated on the ice bucket, there's less space to work at of course, than on your vase.