On the french Wikipédia, the template:Infobox_Monument already use Wikidata date. For example, on https://fr.wikipedia.org/wiki/Manoir_de_Saint-Armel on the infobox, you can see a little +/- sign after the patrimonial status, the country and the coordinates that redirect to the Wikidata corresponding properties to make edition easier.

It's a bit early but in the end, all the Wikipédia lists will come from Wikidata (and not from lists on Wikidata, from separate items for each lines of the lists).
We have to wait until 1. the data are all imported in Wikidata (in progress, done for some countries and not started for others ; roughly 50 % done for France but we started with the easy ones so we're kind of stuck right now...) then 2. the templates, tools and modules in the Wikipédias to be adapted.

Cdlt, ~nicolas