As I learned recently there are some types of expressions in Mathematica which are automatically parsed by the FrontEnd.
For example if we evaluate Hol
Hol
Not quite an answer, but in Preferences > Evaluation there are options to "Only use textual boxes when converting (input|output) to typeset forms."
If you check these, then using Cell > Convert To... > StandardForm etc... will show the Rotate[..] instead of the visually rotated result.