Verbatim or TDK - the same Blu-ray manufacturer ?
 

I recently purchased some Blu Ray disks from ebay which were advertised as Verbatim ( my preferred brand),
but when I check the MediaCode ID, they are shown as TDK. Am I getting what i ordered ?

I would never trust media bought from eBay.

What do the actual discs look like?
Are these branded Verbatim discs, or unbranded generics? (silver top, white top)
What does the disc packaging look like? What is the country of origin written on the packaging?

There's a chance you are victim to a bait-and-switch.
From what I understand, all Verbatim Blu-ray media is going to be manufactured by Mitsubishi - not TDK, Ritek, etc.

I don't think the "Value Series" ("Life Series") effect has hit Blu-ray discs. That's just single-layer DVD-R/DVD+R that I've seen.
Those are Verbatim-branded outsourced cheapies.

They are white top and have Mitsubishi Kagaku Media Co Ltd in small print on them. So it would appear
that although given a Media ID of TDK, they are in fact made by Mitsubishi.

I have used all 10 and had no burn problems with them.

Hmmm ... most interesting.
I almost wonder if the media ID is possibly being read wrong by software. What are you using to read the ID off the disc? ImgBurn?

And this is the most important aspect, of course. :)

I use DVD Identifier and VSO Inspector, both came up with TDK

What's shown in ImgBurn?
Some of those DVD media ID programs pull from an internal database, rather than showing actual on-disc ID.