During a real medical examination of the vulva, retracting the clitoral hood should be the norm, to verify the absence of even partial phimosis.
Sometimes it happens that the clitoris may have partial adherence, right or left, to the hood, or a phimosis of the extension of the labia minora (which are attached under the clitoris and which provide for its stimulation during penetration),
This partial phimosis prevents the clitoris from being fully exposed. So, yes, retracting the clitoral hood is a phase of the vulvar exam.
In particular pathologies or suspected nerve lesions, a clitoral sensitivity test may be required, simply by verifying the involuntary retraction of the clitoris and perineal fascia, with a few small and delicate taps on the clitoral glans above the frenulum of the clitoris itself.
Procedure and verification that ends in a few seconds, unlike, of course, what you would do in a doctor's game.
During the game, the observation will be meticulous and performed in various ways with various accessories, up to the verification of the number of retractions of the clitoris and the contractions of the vaginal vestibule during orgasm. And a lot more... :-)