Catholics participate in intercession all the time. Not just with the pope, but with the Saints and each other. I see people on this forum asking for prayers all the time.
There is prayer and then there is the intercessory work of Jesus Christ. This is significant, as Christians (including Catholics) believe that Christ intercedes in heaven on our behalf according to the Bible, when we repent to Him or ask for His mercy. However, Catholics may confess to those other than Christ and those are believed to be able intercede in the manner than Christ does. The problem then is the diminishing of Christ as our Savior.
To be more clear, what then is the significance of Christ's coming to die on the cross for us and returning to heaven where He intercedes for us if in fact the priest and pope may do the same? For example, in the article posted, Pope Benedict is claimed that Pope John Paul is in heaven interceding on behalf of humans. This is against Scripture. This was and is Christ's purpose. Jesus said that He is the way, the truth and the light. No one comes unto the Father but by Him.
That's is where Catholic doctrine exalts the Pope (and even priests) before Christ, diminishing His sacrifice for us.