as the case may be, if you apply under the name of self-employed license, it will have an impact. If you can't provide a valid self-employed license in the future renewal or trademark dispute, you won't be able to prove that you are the trademark owner.

it doesn't matter if you apply in the personal name of the person in charge of the license. In the application in the personal name, the self-employed business license is only one of the conditions that restrict the application of natural persons. After the state accepts it, the self-employed license has no practical significance for your trademark application, because the trademark belongs to you personally.