They're not embarrassed or repulsed by it.
The objection is that Jesus work on the cross is done, finished. The cross is empty for a reason.
It's not Jesus dying that saved us, it's His death (past tense) that saves us.
Having the image of Jesus on the cross indicates that His work isn't finished and that is not the gospel.
Nope, the Image of Jesus on the cross reminds us what He did for us. An empty cross is merely an object used for torture.
Look around yourself, we are still suffering — in fact for many members of mankind, rich or poor, life can be almost unbearable.
My Church teaches me, and I believe it, that we are members in the Body of Christ. If the cross was good enough for Christ, it is certainly good enough for me. Many of my brothers and sisters experience deep distress in this life.
The Corpus reminds me that mankind hangs on that cross and I am a member of it.