Yes, this is how I understand it, and this is also how many other scholars in the past understood it, according to Muhammad Asad
Note 60
The relevant clause reads, literally, "if she offered herself as a gift (in wahabat nafsaha) to the Prophet". Most of the classical commentators take this to mean "without demanding or expecting a dower (mahr)", which, as far as ordinary Muslims are concerned, is an essential item in a marriage agreement (cf. 4:4 and 24, and the corresponding notes; also surah 2 note 224. (From "The Message of the Quran" by Muhammad Asad)
Regards
wanderer