No, that's the wrong chapel. Your photo is of the old chapel, designed by Michelangelo, with the graves of Lorenzo the Magnificant and his brother Giuliano (if I recall). This article pertains to the new chapel, which is larger and far more ornate.
Of the first three things in the following picture:
#2 is the picture that I posted. It's the "New Sacristy." Since the article says this was the sacristy designed my Michelangelo, it's not #1, which is the "Old Sacristy" designed by Brunelleschi.
So it's either #2 or #3, which is the Chapel of the Princes. As you state, this is the larger one, but it wasn't built until after Michelangelo's death.
This article could have been way more clear, but normally when Michelangelo's famous sculptures are mentioned, the New Sacristy is what is being referred to. I think that's what the article clearly refers to. Whether they're right in that fact is another question.