The punishment of "patibulum" or "furca" does not necessarily lead to the punishment of the cross, to death. Therefore, both punishments are different. Hence my remark : " there is no evidence (h ence my " explicitly") that this " patibulum " is the crossbar which is placed on a pole". Simply.
My remark was here to show that your opinion (, there is no evidence that this " patibulum " is the crossbar which is placed on a pole) was ironically inspired by an apostate and not clearly yours. And what you are provided now is a slightly different opinion, because Leolaia has clearly provide you with a list of latin texts where the punishment of patibulum lead to (or "explicitly linked" to) the punishment of the cross, and you have rejected them not because we have two separate instance of a punishment as you are trying to reformulate you opinion but because during the same punishment "there is no evidence that this "patibulum" is the crossbar wiche is placed on a pole", if someone read french, he could see that when i have formulated this argument before you, it was ironically, as an example of a stupid argument ("c'est fort de café") but this is exactly the path that "Jéhu/TheFrench" has taken !!!
Now concerning the punishment of "furca", i agree that it has clearly evolved during time, it was at the beginning (and during a long time) a separate punishment from the punishment of the cross.
It is strange that you are totally agree with one of the poster here, when he try to connect too quickly "xylon" with "furca" even if Plutarch is calling it "sterigma" to validate the jw's idea that Jesus has carried his stake (and not a cross), even if the description of Plutarch could perfectibly feet with the idea of a punishment of "patibulum" or "furca" ALONE, but in the same time you are totally incapable to see a kind of "norm" as Hengel stated in his book, starting event before the first century i e 1/ the flogging 2/ the carrying of the stauros 3/ the hanging on the cross etc... and in this normalisation the possibly form of the cross as we used to represent it, and as both pagan and christian's writer has testified on the second century, and even in the first century !! (remember the Pozzuelo graffito that you seems to believe that it is a fake, and for your information Guarduacci, the woman who has found the graffito, is a recognised archeologist in Italy and a specialist of the first century christians, so your comment that no specialists on the subject have known this graffito is particulary strange !!)