Are the terms “authorship” and “person identification” identical if we use electronic tools like person recognition through camera or writing style analysis?
They are different in my opinion. Identifying a person who involved in some phases of the process of authoring does not guarantee that the person is the author. The term authorship is narrower and more precise than the personal identification. For an example, the writing style can be highly influenced by the proofreader's suggestions when the author is writing in non-native languages. Hence the writing style analysis can find the proofreader instead of the author.
The authorship gives the link to the author, but do not identify it. The use of electronic assessment with authorship allows to identify the author indirectly.