If I had to guess, the reason why David Pecker got worried about the Bezos investigation, is that the NSO Group's Pegasus Spyware[1] might have been used to hack into his mistres iPhone.

It's the same spyware, which Saudi Arabia used to break into Khashoggi's friend's iPhone[2], leading to his killing:

"Abdulaziz first spoke publicly about his contact with Khashoggi last month after researchers at the University of Toronto's Citizen Lab reported his phone had been hacked by military-grade spyware. According to Bill Marczak, a research fellow at the Citizen Lab, the software was the invention of an Israeli firm named NSO Group, and deployed at the behest of the Saudi Arabian government."

I think Jeff Bezos mentioned Saudi Arabia in his post so many times not accidentally.

And nobody should be surprised, if the 33 year-old crown prince made such an order after The Washington Post led the most negative coverage of his country in decades following the assassination of its contributor.

[1] https://citizenlab.ca/2018/10/the-kingdom-came-to-canada-how...

[2] https://www.cnn.com/2019/01/12/middleeast/khashoggi-phone-ma...