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As far as I know, one of the easiest ways to make a Theoretical Quantile vs Standardized Residual plot is through the following commands:
That gave me something that looks like this: Note that the x axis reads "Quantiles of Standardized Residuals". Unfortunately, I have to conform to the convention of having the random quantity on the Y axis (and fixed quantity on the x axis), so I will need to switch the axes somehow. Is there an argument for that? I did not come across one in the manual.

I would also accept a solution where one saves the theoretical quantile as a separate series. If I had that, I presume I could do:
Then I could overlay the standardized residuals as dots.

Freeze it to a graph, then use graph.setelem axis to change the axis they are on.

Perfect! That's just what I was looking for.

Just for robustness, is there also a way to achieve the latter of my ideas? Generating a new series that contains the theoretical quantile so that I may include it for general purpose graphing? I know there is a make distdata command, but it returns a matrix and it seems to be slightly different than what I have in my graphs as pictured in my original post.