When I was becoming a JW, one of the reasons given to me that Jesus died on a 'Stake' is that the 'Cross' is a sex symbol, and therefore, Jehovah would never permit his Son to die on such an instrument.
After I left the JWs, I had an in-depth discussion with a Baptist pastor about the 'Cross' vs 'Stake' issue. He noted that the "Upright" stake or "pole" was also a sex symbol, and that any such argument made by the JWs was pointless.
Further, he commented on some history I found fascinating. He said that under Roman custom, the 'Stakes' were already mounted before the criminal was executed. The criminal would carry the cross-beam to the place of execution. This is why Simon of Cyrene was asked to help Jesus when he fell carrying the beam on his way to Calvery.
Then, when the criminal reached the place of execution, he was nailed to the cross beam, and hoisted by pulley (yes, Romans used pulleys) up onto the 'stake.' The beam was secured to the stake, and then the criminal's feet were nailed to the stake for extra security. He said that is why the Bible said that Jesus was 'hung upon a stake or tree.'
Almost 100% of art history shows Jesus on a Cross. Some few drawings show men hung on stakes, and he Watchtower Society has taken these few drawings as evidence that Jesus did not die on a Cross.
The Mormons also do not use a Cross as well as several others like the Worldwide Church of God. If you drive by any Mormon Church you will not see a cross. However, Mormonism is from the same idiotic thinking of the 1800s as ae the JWs ... the Book of Mormon is invented history, much like many of the Watchtower historical claims.