Hello @abichat,
I know you might not change the template as it should follow the Paris-Saclay template, but just to let you know.
It is a bit picky but there is something wrong in the cover page of Paris-Saclay latex template.
The vertical line at "composition du jury" will come in black with this template while in the PDF/word of Paris-Saclay template it is prune.
I think they made a mistake in the template.tex at :
\begin{tabular}{|p{8cm}l}
\arrayrulecolor{Prune}
In my template, I slightly modified the template.tex to have this prune line just by inverting these two lines
\arrayrulecolor{Prune}
\begin{tabular}{|p{8cm}l}
Also, one more thing, this time related to the thesisdown package.
Correct me if I'm wrong but I think that the template has reversed odd and even pages, I tried to print a test once and the margin supposed to be in the bookbinding is upside down. Because I modified the basic template, I don't know if it is me that induced this or if it was already there. Anyway, I fixed it, so if you have the same problem I could propose something.
Best,