Well you get what you pay for, Maxell dropped prices for their DVD media some time ago after which they began replacing the RITEK MID's for cheaper MBI ones. I checked the Maxell DVD±R's at my local store a few weeks ago, purely out of interest and the DVD+R was MBI but DVD-R was still made in Taiwan, probably Ritek or CMC (they can be CMC as well). So unfortunately there is no longer guarantee you will get RITEK F1/F16 with Maxell. However if you're looking for high quality Ritek DVD's you should look no further than Traxdata Pro, their 16x media will always be RITEK F1 or F16 and they are much more consistent in their quality. Even the regular Traxdata seems fine but can have batch variation.
As for the Verbatim AZO disks, they can be MBI, CMC or FTI-made. MBI used to make good quality media but in the past year I have had nothing but bad experiences with everything they produce, DVD±R and CD-R. I'm very close to not recommending them at all at this point. CMC stuff will usually be higher quality although it's still not as good as the FTI disks (which are nearly impossible to find though).
If you buy media in person, I don't know why you are complaining of getting MBI disks from Maxell or Verbatim, because they tell you on the packaging which country they are made in. You buy "Made in India" - you get MBI. If you buy from online stores, then it may be impossible to tell and most shops these days won't be able to tell you where your disks are made in. Consider paying a little more and buying in person.
FTI certainly makes branded media for Verbatim at least, but with their own brand (FalconMedia) I've only seen printable (inkjet, thermo etc.) disks, which makes sense since this brand is geared towards professionals.
Speaking of FTI, I remember you said its difficult to buy. However I know of a distributor in Germany (ADR AG) and they sell FalconMedia Mediline 50pk spindles for $17, less than what I pay for AZO media. They may also be able to provide you more information regarding FTI.