Thanks to all for your recommendations.
I used to have laser printers, but when they failed I did not have the budget to replace them. So I started to use inkjet.
After some more research I found that the issue was reported on the HP forum.
Also, there are credible reports that Epson and Lexmark.
Here is the issue. After you buy the printer you get an update the claims to be security issue. That is not true. The only purpose of the update is to steer you away from their-party inks. The way to prevent this is to turn off firmware updates.
The inks are NOT the intercultural property of the printer makers. That is a false claim. Otherwise the printer companies would have won in the court battles over this issue.
The
ink industry is very big and the printer companies are a drop in the bucket. (Pub intended,). The big ink makers will sell to anybody. Making ink is not a secret anybody. This use of organic materials is no longer as common as it used to be. The chemical formulations are known.
HP has a patent.
https://www.google.com/patents/US9133358 But that was in 2012 and does not prevent ink companies from use other formulations that perform as well as the HP ink.
My take on this is that HP has told lies. Yes, they did apologize. Thanks, now I will wait for them to give me some free ink.