This statement in and of itself is patently false. As pointed out, Saudi Arabia and Iran share borders with Iraq, making this claim absurd on its face.
Additionally, Iraq's Al-Masoud missile has been proven to have a range in excess of 90 miles, which is long enough to strike a wide range of important strategic targets in Iran and Kuwait, both nations whom Iraq has already invaded, and including the cities of Ahvaz, Khorramshahr, Abadan, Hafr al-Batn, Al Jahra and Kuwait City.
The Al-Masoud has been proven to exist in Iraq's arsenal, but other missile systems have been at issue, including Scud-B systems unaccounted for after Desert Storm, and indigenous missiles Iraq produced, including the Al Hussein, Al Hijarah and Al Abbas systems. During the 1990's, well after Desert Storm, UNSCOM had determined that Iraq had kept several Scud systems and scores of indigenously-produced missiles, but was unable to find and destroy them (call that a literary foreshadowing of things to come). The attacks on Israel during the Gulf War proved conclusively that even inaccurate missiles like the Scud and its derivatives are sufficient to terrorize and intimidate an enemy, if not destroy him.
This statement also ignores the strong possibility that Iraq had secretly acquired Scud parts and Nodong missile components from China and North Korea, respectively. While unproven, the blood trail leading among these countries is about as plain as such things can get.
I do not know Greg Thielmann personally, but based on this and other things I have seen him say, I would not trust a word that comes out of his mouth. He is on somebody else's payroll, I just don't know whose.
As more like him come crawling out of the woodwork, however, the nature of their shadowy paymasters is becoming more distinct.