The issue is reproduced by having an SMB share in which the vault is stored for two network computers. Once I install a plugin with the main computer, the second computer reproduces the trust issue every time I start the application.
Adding the vault with both computers without plugins seems to not trigger the trust issue.
Bold Solution
I closed the app with both computers. Copied the configuration folder of the main computer $HOME/.var/app/md.obsidian.Obsidian/config/obsidian/ into the configuration folder of the second computer.
This is a follow-up for post: