My point is simply this, if it is the term, or what it brings to mind for you and you are Christian it seems silly for it to bother you. If you are a different religion and feel it favors Christianity then I could better see the point.
So many of the Christian churches depict the cross with an Image of Jesus on it being crucified. The term itself of "Bloody Cross" seems tame compared to the image of someone being hammered to a cross and murdered.
Even extremely popular Christian song lyrics refer to it
The old rugged cross
"In that old rugged cross, stained with blood so divine,
A wondrous beauty I see,
For ’twas on that old cross Jesus suffered and died,
To pardon and sanctify me."
Like I said the name seems tame compare to what we see from the religious sector itself.
With out seeing the actual ball it is also a lot of speculation. People can be offended by anything and there is no fixing that.