The brother mentioned the May 1990 Watchtower which mentions that unless you are baptized Yah may not be listening to your prayers. So it seems to me that this is a way to pressure people to get baptized so they can have that "unrestricted" approach to God. So was Jesus' prayers "restricted" prior to His baptism? I would think not being the Son and all.
What about all those unbaptized people who supposedly were praying to God for help and a JW arrived at their front door a few minutes later?