IIRC the Cuve sees only 3 months ageing in old wood so it isn't very oxidative in the wine making process. It is aged a further year in bottle before being released and is meant to be drunk on release, so I imagine it might have some oxidative notes by now but as I haven't had this bottling with so many years in bottle, I really have no idea.
FWIW, this is the bottling that is 100% Obeideh (further trivia: literally the diminutive, feminine of the word 'abd "slave" in Arabic, so meaning "a little slave girl"), a variety that is possibly the same as Chardonnay.