This paper by Stan Hawkins and John Richardson explores how Spears uses "scopophilia" (pleasure in looking) and narrative control. It argues that:
The Director's Cut often retains clear shots of the Nokia phone, which were sometimes blurred in other broadcasts. This paper by Stan Hawkins and John Richardson
Remodeling Britney Spears: Matters of Intoxication and Mediation Sexual Objectification in Music Videos: A Content Analysis
It describes the video as being filled with "flawed portrayals of identity and sexual expression". Sexual Objectification in Music Videos: A Content Analysis This paper by Stan Hawkins and John Richardson
The scenes in the sauna were suggested by Kahn specifically to address media attacks on Spears' weight, aiming to show she was "OK" and command respect.
Her performance of control and sexual display in videos like "Womanizer" compensates for themes of vulnerability found in her lyrics. Song/Video: “Womanizer” by Britney Spears (CPYU Review)
Kahn notes that "Stronger," "Toxic," and "Womanizer" form a trilogy where Spears begins by being wronged by a man and ends by reclaiming power.