I think students' views that this is hypocritical may be reactionary, but it's up to professors to delineate, I think, how their ChatGPT use is fundamentally different from students'.
IMO, the use of LLMs to create novel works (course syllabus, answers to quiz questions, etc) robs the writer of a very crucial aspect of writing, the construction of new knowledge and analysis that's produced as part of the writing process.
Is this necessary to write and re-write a syllabus over each year? Probably not.
Is it necessary when writing quiz answers, essays, and other aspects of student work? Certainly. Importantly, students (and maybe some faculty) think that assessments need to reflect what is already learned and memorized, when in reality assessments provide more opportunities for learning though the process of assimilation and analysis of ideas.
Now, is this necessary for professors who are writing feedback and responses to student work? Yes. Using LLMs for feedbacks gets back to the central idea in this article; if the feedback comes from an LLM, what are students paying for? Importantly, how are professors factoring student work into their next lecture and overall into their instruction if they're not reading it?
Alongside this, is this necessary overall for professors? Probably yes. Lacking an understanding of what obstacles students are facing in their learning can only lead to an unresponsive class experience.
What is the special sauce students are getting out of a class?