I have reason to believe that this rose is the same as Louise de Savoie, "light yellow tea". There is a watercolor in a book called Les Roses by Ferdinand Rembert from 1861-63, page 338. There are 3 names for each flower pictured in the bouquet of roses:
<<One of the roses in the pic is not a rose but a "Hellebore/Renonculaccea/"Rose de Noel" (="Lenten Rose"?)>>

Focus on the fully double yellow shown. The names listed are the French ("Théa" meaning tea-"ish" or "feminine tea"), then "Louise de Savoie", and then "Rosa Indica. All refer to that same yellow rose there. I believe that indicates some link to the rose in your listing for Louise de Savoie indicating a "light yellow tea".

This seems to line up time wise with the Ducher-attributed Louise de Savoy from 1854.

You have your Thea Lutea ("yellow tea") cross listed with "Indica sulphurea".

I have researched links between the person Louise de Savoie and I do not believe it honors the first Louise de Savoie a french noble living 1476 to 1531. I have a feeling it more likely was named to commemorate another: Marie-Josephine-Louise de Savoie (1753-1810) who at one point was "queen" of France and wife of Louis XVIII. There are many portraits of her with roses, and in particular a very double yellow in a portrait by Joseph Boze 1786 and then another where she wears a head garland of yellow roses. The other portraits show pink roses.
There could have been a royalist trend during a certain period and the name may have been added to an already existing yellow tea. I have a feeling in those days not all roses under a certain name were genetic clones, I feel they may have used seedlings which resembled an already-named rose and grouped and marketed them under the name name. Was "yellow china" a "type" or a group of actual clones? At any rate I suspect that Indica Lutea, Yellow Tea, and Louise de Savoy could very well be synonyms. I would like to hear opinions!