Thanks Z038 for the link to the WSJ article.
It appears that some sort of fingerprinting is at the root of this issue. I suspect that if browser cookies and Flash cookies fail the sites are falling back on some sort of fingerprinting. Based on the fact that I am challenged when the Firefox version is updated on my CentOS machine I conclude that there is some incorporation of software related data in the fingerprint.
However, at two of the 3 sites of interest, once they have fingerprinted the computer on the Ubuntu Live CD they still recognize it when running knoppix. This leads me to believe that their fingerprint is strictly hardware based. The third site barfed when accessed with knoppix. I need to go back to Ubuntu and see if it is still recognized. Booting now...
The machine is still recognized when booted to Ubuntu. I have changed the CPU speed to "compatible" in BIOS. Rebooting Ubuntu. Well, perhaps not. It looks like Ubuntu is not compatible with compatible speed on an old Dell Pentium 4.
To summarize...
I have a snail mail letter in to the CIO at the large financial institution asking if their computer identification process is hosed or what data they are collecting but not disclosing in their privacy statement. I have enough $ invested there that I will have an answer from someone if they want my business.
I have an on-line contact message in to the major bank/credit card issuer again quoting their documents and asking WTF?
As to my local (small) bank... I am waiting for a return call from an "on-line banking support supervisor". Hopefully I will get someone who can at least spell PC
I will update this post with any interesting findings.
Ken