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.
Both terms refer to Agents-Persons. Authorship refers to the Agent-Person responsible for the intellectual content of the work, thus the function/role of the agent in relation to a particular work is clearly specified (Person= is creator of a certain idea [Work]). Person identification is quite different. It does not point or include the function/role an agent-person has within every work (how the person is related to every work). See for example ISNI: ''ISNI is the ISO certified global standard for identifying the millions of contributors to creative works and those active in their distribution, including researchers, inventors, writers, artists, visual creators, performers, producers, publishers, aggregators, and more. It is part of a family of international standard identifiers that includes identifiers of works, recordings, products and right holders in all repertoires, e.g. DOI, ISAN, ISBN, ISRC, ISSN, ISTC, and ISWC.'' (http://www.isni.org/)