Broke down after 2 years...
There is nothing wrong with this screen except that it broke down after 2 years and a few months.
According to the nearest LDLC shop and an independent repairer, parts are nowhere to be found.
In desperation, I put a message on the Iiyama website which informs me that the warranty is not for 2 years but for 3 years (I would have appreciated if LDLC had told me this before and triggered the exchange procedure).
From then on, Iiyama's subcontractor sent a carrier to install one of the same model and take the broken one, after an exchange of a few emails. In the end, all's well that ends well, even if it took more than 3 weeks between the breakdown and its resolution. That's still a bit long...