commentaries - Authenticity of Rosh's commentary to Torah

What do different sources state regarding the authenticity of the commentary to the Torah attributed to Rosh?

I remember seeing people claiming that it is missatributed. If I recall, the suggested argument is utilized: "Rosh's son, the Tur, never mentions that the Rosh wrote a Torah commentary".

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Note: I am only looking for sources which provide empirical evidence. One example of what I am not looking for is: "the commentary is quoted by R._____ who was so holy, so it must have been authored by Rosh."

One example of the sort of argument I am looking for could be a confirmation of the argument I mentioned above: "Indeed, Rosh's son never quotes the Torah commentary attributed to his father in his own Torah commentary, although he frequently cites his father's Halachic rulings in his own Halachic rulings."