Hello, Andrew. Welcome to our forum and happy New Year.
I've found your previous post: https://thegrammarexchange.inf...tylization-and-usage and, in answer to your question there, it is indeed redundant to use both quotes and italics to refer to publications. You should choose one of the two.
But I think that Robinson hit the nail on the head in his article when he wrote that we should put aside cinematic criticisms and approach this film as an intensely serious political document that seeks to save humanity from destruction.
In answer to your current question, just like you I also prefer the use of "put aside" rather than "set aside" to mean "to deliberately not consider or ignore." Although they are sometimes interchangeable, I find "set aside" to be more closely associated with the idea of keeping something aside for some future use.
You can resort to us with any other questions you may have. David, our moderator, is the best expert you can find to dispel the doubts you may have and, subject to the time constraints we may have (although it sometimes amounts to a lot of work we do this on an unpaid basis, that is, only for pleasure), I'm sure he will be delighted to share with you his views when he finds the chance.