No, that's not it at all. It's a cultural difference between Japan and the rest of the world. You have to think of the Cross/X as Crossout or Cancel. They have added a firmware to the Japanese PS4's to change it as said in the second link.
"Because in the Japanese mindset X means "no, bad, wrong, or cancel" it is the perfect label for the PlayStation's "back button" in the home market. But outside of Japan, there is no implicit negative association with "X." So when Sony swapped the default functions for the X and O buttons for the PlayStation's international release, they probably thought there would be no problems caused by the change."
https://kotaku.com/the-japanese-side-of-the-playstation-button-confusion-5883604
"In Japan, the O button made the most sense as a confirm button. The “X” cross shape is known as “batsu” in Japanese, and it carries similar connotations as it does in the West — no one wants a bunch of Xs on their exam results — but the “maru” circle shape has a similar meaning to the check mark in Western culture. For example, game shows will display a circle whenever a contestant gets an answer right."
https://www.theverge.com/2019/3/9/18255901/ps4-x-o-cross-circle-remap-firmware-6-50-dualshock-4