If we assume this information persists forever - and we might as well - it represents infinite liability and risk whereas the mitigations I have proposed cost almost nothing.
Or, to put it another way, it's very cheap insurance.
I like this a lot more than the De Beers campaign popularized in the late 1940s[0]!
[0]: https://www.theatlantic.com/magazine/archive/1982/02/have-yo...
See chaos theory's infinitely long line in a finite-sized circle
If it is truly unpredictable, then you may be diminishing something which may actually be beneficial and necessary in the future.
This obfuscated data which may or may not be linked to you (or the lack of data entirely, a void which certainly is linked to you) is itself forever persistent and represents its own infinite liability.
Not to say that you're wrong or right, just pointing out that your claim of somehow rising above this system is bogus. No matter what we do, our mark (be it a shadow profile or a void) is left, and perceptions will form around it that cannot be predicted.
You can call it paranoia. I'd call it a healthy value of privacy.
Nothing stops a company from taking your name from your credit card and using it to build/sell shadow profiles except their word. Companies' words aren't worth shit.
The data is there, silently, stored for a future use which may come at an unpredictable time.