You can always shoot a couple of GDPR data requests...
And you can use cash for sensitive purchases.
And you can use cash for sensitive purchases.
This isn't always a viable option.
For example, in Sweden, we have stores that are kontantfri (cash-free) and it's projected that almost all of Sweden will be cash-free by 2023[0] to 2025[1]. (Sorry the links are in Swedish but you should be able to use <your chosen provider here> to translate them to your language.)
Given that the nordics tend to trend together, I imagine that Denmark is relatively along the same path to being cash-free, as well.
I think a better (but more complicated) alternative would be to use two different SIMs for separating those apps from an every-day number; however, that comes with the problem of carrying a second phone. Dual-SIM would just present a surface to tie the two numbers together but so would the two phones being in the same area (in proximity of each other) almost all of the time.
In other words, I don't really know how to solve this problem because it depends on everyone else not jumping on the bandwagon; however, to your suggestion, cash will not be a viable option for any purchases - much less, sensitive ones - in the very near future.
[0] - https://computersweden.idg.se/2.2683/1.690197/kontanter-slut...
[1] - https://www.compricer.se/nyheter/artikel/24-mars-2023--da-ar...
When one considers how fat the deck is stacked against individual consumers in today's market, I would be inclined to tolerate some Thoreau-style civil disobedience on this. The desire for privacy -- to effectively "use cash" at "cashless" establishments -- may require the need to engage in this activity.
The other question would be, who is being damaged by this fraud? Presumably the seller of the card (and banks/processors in between), who would like to link all your card purchases to some master profile. Well, I wouldn't begrudge anyone with disobedience on that one too. They're still collecting fees on every purchase.
https://www.linkedin.com/pulse/nightmare-letter-subject-acce...
Of course this is an overkill, but it gives a good starting point - feel free to reduce it to serve your needs.
Do you have more details about which particular sections "reek of bad faith"?
This is why those OATH and similar dialogs are so jarring, the correct implementation should be opt out by default without being bothered every time one visits a website.