No,of courrse it shouldn't matter. There are arguments both ways: cross v stake. I think Leolaia has made a very strong case on this board that the historical evidence suggests it was more of a cross than a stake. The Watchtower Society has even published a picture of a classical painting of Christians being thrown to the lions with people hung on crosses around the perimeter of the Roman ampitheatre! JW's make a big deal out of it and so do Christians, wearing their ridiculous big crosses around their neck, like a lucky charm. Both sides are being stupid. My research leads me to believe the truth lies in the middle: the eyewitnesses to his death thought of a stake, because the Greek word used is Staurus, but at the same time that stake had a fairly narrow horizontal piece/beam which Jesus hands were separately nailed to (not a very wide beam like most Christians portray), so the stake also resembled a cross. Jesus was indeed nailed to a stake (staurus) but his hands were not together nailed to that staurus, like the Watchtower portrays; his hands were nailed to a fairly small/narrow horizontal piece. Both sides are feeling only a part of the elephant in the dark and imagining they have the whole truth.
The RCG website has a balanced viewpoint:
In the gospel accounts, the Bible says that Christ was nailed to a cross. The Greek word used for “cross” is stauros, which means “stake, pole, upright post or cross.” Interestingly, other scriptures record that Christ was nailed to a tree ( I Peter 2:24 ; Acts 5:30 , 10:39 , 13:29 ). The Greek word used in these verses, xulon, means “timber, stick, club, tree or other wooden article or substance.”
In ancient times, Roman soldiers used to crucify people using wooden structures of various shapes. Sometimes they used upright stakes or poles. Other times they used wooden crosses by attaching beams either at or just below the top.
"The Bible does not specify the exact shape of the “stauros” or “xulon” on which Christ was crucified. If God thought it was important for us to know, He clearly would have recorded it, leaving us no doubts. The shape is not important, but Christ’s sacrifice is!"