For most optical media of recordable and pre-recorded (press) disks, tech-intensive and profitable processes are done in Japan and the rest are done in the rest of Asia, mostly East Asia. Companies like Mitsubishi, Hitachi, Pioneer, Ricoh, Sony, Sanyo, and many others in Japan develop and produce dyes, chipsets, etc. and sell those along with the necessary equipment and licensing to those like Ritek and MBI that want to make and sell in mass. Most popular example is the relationship between Ricoh and Ritek (which seemed to work for Ritek but not so well for Ricoh.) Verbatim is one of the sales windows for Mitsubishi Kagaku.
(Mitsubishi Kagaku or Chemical Media Inc.)
Personally, I always prefer Mitsubishi to Taiyo Yuden, but Taiyo Yuden disks have always been cheaper in South Korea and it's always cost that drives the market. Compared to TY DVD media in the US market, it is much easier to find retail Verbatim-branded Mitsubishi DVD media with the usual lifetime warranty which isn't the same with TY USA so if you are in the US, it's not fair to compare MCC with TY. Quality differences are mostly judged individually. The deciding factor's usually personal preference over brand name. TY's popularity increased and has been steadily high not because it's the best of the best, but because TY media are much better than non-Japanese media but cost just a little more than Taiwanese media.