Thank you for your help with the issue of the link fields not to be auto adjusted to the translation. We have used your suggested workaround which looks to be working fine as a solution for the time being.
Yet, we have faced another issue with the links to be not translated in the content of the post - neither in the content, not in the flexible content additional fields. We have a custom post type "Stories" where we have detected this issue after having created a duplicate of the story hidden link. This issue also persists with the default posts hidden link
We have replicated it also on your clean WP installation hidden link - pls see this for reference hidden link. Scan doesn't help either hidden link
I have checked the page you shared, and you are using WP editor to add translation, which means you are manually editing the 2nd language page, not via WPML, so you should manually adjust the 2nd language content as you wish. Not much here related to WPML. You are also using their external link, so you should add the 2nd language link you wish.