...follow the 190 radial from JSY to DIRGO, then track 178 (DIN 358 radial) to ADIDI whence you commence the approach. With conventional nav kit, that is the only circumstance in which you should be using ADIDI as the IAF.
Yes, but...
In the above case, ADIDI serves as a FAF, not an IAF.
The racetrack reversal at ADIDI may be used for beginning the approach at the DIN VOR.
Overfly ADIDI Northbound, it's an IAF.
Following completion of the racetrack and inbound toward the runway, ADIDI becomes a FAF.