In this case which personal information are they referring to if not the phone number, email addresses or names?
Yes it's a bit suspicious because they contradict themselves on the same page, at the top they say
"Rest assured, your personal information will not be shared" and at the bottom they say
"Do not include any personal information, such as your name, email address, and contact details" !!!
As you said, everyone understands “personal information” to mean information such as phone numbers, email addresses, or names!!!
Frankly, I don't know. Either they are lying or they do not know what they are saying because this is a clear contradiction.