You are correct, as indicated by the following quote on the page I linked: “The finished Ian Knot is identical to either the Standard Shoelace Knot [...].”
Changing my Granny Knot (unbalanced) to a Standard Shoelace Knot (balanced) would have produced the same result. However, I found the Ian Knot approach to be helpful in preventing me from absentmindedly reverting back to the Granny Knot.