What Tocard describes above is what I went through in Sept. 2025 landing ca. 11:00 , and in the end my passport was stamped, which is I want most of all.
How long the whole process took I cannot recall exactly since I wasn't counting the minutes and not pressed for time, at least half an hour if not more. Directed to the first passport scanner, I found it wasn't working, called over the "helpers" to tell them, marche pas, was told to go to another one. That one luckily did work.
Non-working scanners do take place, and especially it happens at the time you get to it. Since going through Passport Control with EES was before noon, more and more people began to show up with the ensuing back-log.