When reviewing the Reopen review queue, I find my self having to open the question it self on another tab, in order to check why the question was close in the first place, so I can know if the edit fixes that. I think this is just extra effort (not much, but still) and should be fixed.
For questions that were edited after the question was closed (thus the automatic reopen review), it will say at the top of the review: "This question was edited after it was closed."
For all other questions in the review queue you can simply click on the Question (revised) button. Then look at the close reason listed below the question.
I just did a reopen for "edited after it was closed." As you can see in the screen shot after clicking on the Question (revised) button the close reason is listed below the question.