Currently it is possible to set the current accounting company in the option under organization GL settings and in party preferences.
The proposal is to remove it from accounting and set it in the theme header so it will be available in all components. In order to make the system not more complicated, this setting is only available when there is more than a single accounting company.
Then replace the organization GL settings in accounting by
is the current selected accounting company in the header.
The global setting of the current organization is already done in the application decorator in the commonext component.