No..?
Yes, precisely: the op-amp is doing the control. The 317 is serving only as a current amplifier, a voltage follower.
The advantage over a BJT is the low input current and negative offset voltage (ADJ = Vout - 1.25V, rather than Vbase = Vout + ~0.7V). Therefore, any general purpose op-amp can be used.
The circuit will still have much higher dropout than doing it discrete (such as with a R2R op-amp and high-beta follower transistor, or any op-amp followed by an amplifying / level shifting / current gain stage, which would only need a transistor or two), but this way keeps the parts count down, which is likely important to the editors and readers of whatever magazine I presume this is from.
Tim