people who routinely deal with ACARS stuff have suggested that the number of messages on these two pages is already large for a single flight.
Yes the average is Zero or One. More than 3 would be very unusual.
Reading about the A330 pitot icing comments that have been made, is it being suggested that the problem is caused by setting probe heat to 'auto' and the ice detection then not being sensitive enough to prevent rapid icing when conditions make that likely?
The setting of probe heat AUTO means that it comes on during the start procedure and is always ON in flight. All Auto does it turn it off automatically when you are parked at the gate.