The Azo-Blue is a bit older, was common on the 16x DLP CDR's. It recently surfaced in the Verbatim-Vinyl audio CDR's. It earned a reputation for not being well-tolerated by some burners, but also for being well-tolerated by some finicky readers like yours. The TY formulation is closer to the newer DLP dye called Super-Azo. The lower-quality Verbatim (not DLP) are/were called metal-Azo, and have a pretty bad reputation. All the Verbatim media are known for widely varying quality control. In general, as long as you do not exceed their optimal burning speed, they perfrom quite well.
Short answer: Azo-Blue are very dark blue, Super-Azo are lighter blue, and TY are lighter yet with a greenish tint. Older, more finicky readers tend to work better with darker dye, but every situation is different. Burn speed may have an impact on the compatability, but dye type is more important. Any of the Cyanine (dark) dye formulations have a better chance of working for you, but in some cases the opposite is true. Confused yet? It's all about the laser in the drive and reflectivity - finding the right combination.