Victor, that wikipedia reference on "staurogram" is very helpful. It says "Ephrem says that the Tau represents the cross of Jesus" and gives other reasons for that shape being a "tau-rho". That article seems so scholarly it must be right.
Nevertheless, I am having hard time thinking a T shape within a manuscript must be a tau when it is intended to represent a cross. It could be a cross, not used as a tau, but called a tau for the coincidence of shape. (I am distinguishing between a shape and the its language function as a letter.)
Wikipedia says, "The staurogram was first used to abbreviate stauros (σταυρός), the Greek word for cross in very early New Testament manuscripts such as P66, P45 and P75." "Abbreviate" seems an odd word here. How does "tau-rho" abbreviate "σταυρός"? Most abbreviations begin with the first letter of the abbreviated word.
The shape as on the OP coin could easily be interpreted as a cross (including an upward projection above the T shape) - rho. No need for a tau. Then, what would the "P" (rho) be? From wikipewdia, "used as a monogramma Christi alongside the Chi-Rho and other variants, spreading to Western Europe in the 5th and 6th centuries." Could it be that the X shape was simply replaced with a cross shape and the P (rho) immobilized? I thought about writing "In the West, the Greek "X" for "chi" for the "Ch" in Christ would not be so meaningful, but the cross would be," and then I thought the evidence of the coins was that it was used in the East alongside the chi-rho, so it is not just a western phenomenon (the coins below is from Cyzicus).
Once again, with the quote continued longer, "Ephrem says that the Tau represents the cross of Jesus (prefigured by the outstretched hands of Moses in Exodus 17:11)." It a standing figure stretches out his hands [to the side] there is a projection (the head) above the horizontal. That would be like a cross with an upward projection, not a T (tau). I wonder if Ephrem really said the shape represents the cross of Jesus and somehow (earlier or later?) the shape was named tau-rho for the coincidence of shape but not with any real connection to tau (the letter)? If so, calling it a cross-rho would be appropriate.
Any further musings on this would be welcome.