@gruber About iMessage, isn’t it still that the iMessage traffic is merged on the same endpoint as the push notifications? So, if taking out iMessage all remote push notifications to iPhone would immediately cease to work.

This is how they shoehorned in iMessage under the nose of all phone operators, who already had been using the push notifications as one of the the major reasons for their customers to get a iPhone, and now they couldn’t block the iMessage traffic.

@magebarf That's an interesting theory, but I don't know if it's still true.
@gruber Aeroplane wifi thing is still true for sure, brining some validity. I can’t remember where I saw the initial documentation on this, but the closest thing to it I managed to find today is this: https://support.gfi.com/article/107782-when-blocking-imessage-push-notifications-are-blocked
When Blocking iMessage, Push Notifications Are Blocked

Overview The Exinda appliance gives administrators multiple options to stop or throttle applications...

GFI Support
@magebarf The airplane Wi-Fi thing, at least on a couple of US airlines I'm familiar with, is often "free messaging", which includes WhatsApp and others too.
@gruber I also think this is changing, as there so many messaging services these days that it’s hard to implement filtering rules. Last flight, two weeks ago, at least Lufthansa had changed to let their ”messaging” tier be severely bandwidth capped (I think it was 50kbps) instead.