Have you ever wondered why some scenes of Jesus' conviction and death are set aside and visitors can view the places...but there is no place set aside where people can visit the site of his crucifixion.
First let's get this straight.. Jesus' crucifixion was not and unusual event across the wide Roman empire..
https://www.livescience.com/65283-crucifixion-history.html Some historians and archaeologists say that the site of Calvary is atop the hill over the garden tomb. They claim there is a place where holes chiseled into a large rock that tops the hill..holes that were made to accept crucifixion sized timbers.
How could Jesus after being scourged, possibly have carried the timber? The Romans realized this too..so some scholars suggest that the uprights were already placed in the holes upon the hill, or were at least there on the hill, awaiting the cross piece to be fitted into a notch cut into the upright.
Crucifixion was common in ancient Rome.. After the gladiator war was put down, captives were brought back to Rome, from the volcanic crater, and between Rome and it's port of Ostia...there were some 6,000 participants crucified...
Now, some folks involved with the Jehovah's Witnesses, have a problem with the cross, simply because the JWs claim Jesus was crucified on a "tree".. Which of course, orthodox Christianity in no way agrees with.
The Bible clearly states that Jesus was CRUCIFIED.. The Latin word for CROSS is CRUCIS...look it up !
Much more information is available on the subject..
BTW: Christians cannot visit the hilltop over the garden tomb, because centuries ago, the area was converted to a Muslim cemetery...and all others are not permitted in the area.
Seeing the wanton destruction going on at the temple mount today, i would expect they may have chiseled out the cross sockets long ago as well !