Will the current campaigns in the Campaigns module be automatically transferred to the Automations module in the long run?

No, the structure of the Automations module is completely different from the Campaigns module. Therefore, it is not possible to automatically transfer the campaigns in the Automations module. You manually build the campaigns in the Automations module, including the associated campaign messages.

What you can do to work efficiently is to duplicate a current campaign message, so that it returns to the overview of the Messages module and can be used for an Automation.

You can read how to do this in the article: Can I also use campaigns messages in the Campaigns module in an automation?