"I think this is a very good question... I really wish I had the answer.

With my limited knowledge of English I found some examples of "make a show" used like this: to exhibit something that in fact is not true (make a show of friendship, when in fact you hate the person). "

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    Correct me if I am wrong, you could rephrase your sentence in this way:

    "...used in the sense of exhibitting something that, in fact, is not true.   Example: to

pretend being friend of someone when in fact you hate the person."

    I understood you, but I was wondering if it could be improved for non-native (meaning non-Portuguese speakers) ears.

    Of course, it is only a comment; perhaps only an English speaker  could say if it was or not expressed in a readable way.

     And, naturally my own words can be adapted and improved.

    See you later and don´t get me wrong I am not trying to appear boring or that I am not valuing your work.   I am trying to help, and in the process, helping myself.

    Hugs.