Yes, though the first one is a mistranslation. The translators note actually refutes the idea that bazr is the clitoris rather, it is the clitoral hood (which is not apart of the clitoris itself):
e4.3 Circumcision is obligatory (O: for both men and women. For men it
consists of removing the prepuce from the penis, and for women,
removing the prepuce (Ar. bazr) of the clitoris (n: not the clitoris
itself, as some mistakenly assert). (A: Hanbalis hold that
circumcision of women is not obligatory but sunna, while Hanafis
consider it a mere courtesy to the husband.)
Reliance of the Traveller e4.3 p. 59
khafđ al-mar-āt is defined as the removal of the skin on top of the glans (see for e.g Lanes' Lexicon). We have some scholars who agree that it is not the clitoris itself as Ibn Hajar (RH) writes:
The clitoris is the piece of flesh that remains in the woman’s vulva
after circumcision (removal of the prepuce of the clitoris).
Fath Al-Bari 5/340
The context was the hadith about Abu Bakr (RA) insulting the pagan deity after the pagans belittled the Muslims though it shows that according to Ibn Hajar, the clitoris is not cut.
This is also the view of Shaykh Al Islam Ibn Taymiyyah (RH) as he states:
Praise be to Allah. Yes, they should be circumcised, i.e., the top of
the piece of skin that looks like a rooster’s comb [referring to
clitoral hood] should be cut. The Messenger of Allah said to the woman
who did circumcisions: “Leave something sticking out and do not go to
extremes in cutting. That makes her face look brighter and is more
pleasing to her husband.”
Majmoo Fatawa 21/114
Lastly, I will just quote the same narration you shared to prove my point:
Narrated Umm Atiyyah al-Ansariyyah: A woman used to perform
circumcision in Medina. The Prophet (peace be upon him) said to her:
‘Do not cut severely as that is better for a woman and more desirable
for a husband.’” — Abu Dawud 41:5251
