Fairbuds not connecting to iPhone app

Hi all, I have Fairbuds that connects to my iPhone but are not recognised by the Fairbuds App.
I have tried every connection possibilities: connecting before opening the app, after, connecting with pairing mode of the case (3s on the button), etc
I tried on an android and it works fine. Firmware seems up to date : V65
iPhone is SE from 2022, with 18.1.1

I haven’t read the entire topic, but I think the current status according to Impossible to update Fairbuds XL is that the Fairbuds App does not work on iPhones at the moment.