Yes, but if Jesus was nailed to a crossbeam which was lifted up and rested on a vertical beam, that would agree with the scripture. Problem is I don’t think the Romans used a “standard” form for this form of torture. We know Jesus carried something so that was either a stake, a beam, or an entire cross.
We can’t know for sure, bit from Wiki : “What now appears to be the most ancient surviving image of a Roman crucifixion is a graffito found in a taberna (an inn for wayfarers) in Puteoli, dating from the time of Trajan (98–117) or Hadrian (117–138). The cross has the T shape.” I’ll go with what the early Christians believed - many of them died to preserve the faith we have today.
Something you may want to research yourself (since you brought up forced interpretations):
A study edition of the New World Translation supports the religion’s belief by reproducing an illustration from a work by 16th century philologist Justus Lipsius showing a man suspended by the wrists on a crux simplex or upright pole. However, it omits Justus Lipsius’ other illustrations of Jesus execution that show a traditional-style cross with cross-bar. James Penton, who was raised as a Jehovah’s Witness but was expelled from the religion for apostasy in 1981, has claimed that the use of the single illustration by the Watch Tower Society “demonstrates so clearly how much their scholarship is affected by dogmatism”. “Watch Tower scholars falsely leave the impression that Lipsius thought that Jesus was put to death in that way”, he wrote. “In fact, Lipsius gives sixteen illustrations of impalement, thirteen of which show stakes with some sort of cross member.”
In their book, Reasoning From the Scriptures, Jehovah’s Witnesses also reinforce their doctrine with a partial quote from The Imperial Bible-Dictionary (edited by Patrick Fairbairn, 1874) that states the crux “appears to have been originally an upright pole”. In the original text, however, the dictionary continued, “… and this always remained the most prominent part. But from the time that it began to be used as an instrument of punishment, a transverse piece of wood was commonly added: not, however, always, even then.”
The same way he would have put it on a stake maybe???.