Somewhere else in the text, we find:

"on ne saurait contester qu’en France, les spéculations hardies de Schelling et de Hegel n’aient rencontré tout au moins de très vives sympathies."

Therefore, I think that "réceptions revendiquées" means that Schelling and Hegel's ideas have been heard and accepted, this acceptance publicly acknowledged.

Also we keep an alliteration :-)

Both your essay and its object are diablement dense. Saisset says a certain reading of pantheism, consistent with his own (non-materialist, non-atheistic) one has taken off in Germany and while it hasn't been taken up in Italy and England, for reasons to do with their own philosophical traditions, the works of at least Schelling and Hegel have found a sympathetic audience in France.

I am confident that "readings" is a good translation of "réceptions", and I would be tempted to say "sympathetic readings", but I think that's over-translation derived from the Saisset source, so I suggest a more conservative "accepted".

It's about some people's philosophies on the deities and the universe. It mentions 'vindicated receptions', such as
pantheism, which is a belief that God is omnipresent, everywhere. A vindicated reception is one which is claimed, cleared from blame or justified, therefore a reception, in this philosophical example could be a belief.

(FR: 'Il s'agit de la philosophie des dieux et l'univers. Il mentionne des réceptions revendiquées, comme le panthéisme, une croyance que Dieux soit omniprésent, partout. Une réception revendiquée peut être demandée forcément, librée d'engagements, ou justifiée, puis donc, une réception philosophique peut être une croyance.)