Gaon, the basis for his ruling didn’t change subsequent to his Psak.
Rav Shmuel HaLevi Wosner: Shevet HaLevi 4:1.2 and Shevet HaLevi 7:11.
HaRav Yitzchak Zilberstein issued the same Psak, less than two years ago, against women driving. He quotes the kuntres Rachmei HaRav from HaGaon HaRav Shmuel Halevy Wosner ZT”L, in which Rav Wosner writes women should not get a drivers license. He explains that while this is somewhat commonplace today, it is not advised for the actual process of obtaining the license results in compromising her modesty as does actual driving of a vehicle by a woman for this exposes her to sites in the streets and marketplace.
“וליבי אומר לי שהוא אחד הגורמים של האסונות הגדולים שנעשים בדרכים בארץ ישראל המפילים כל כך חללים והרגו כבר טובים וצדיקים וזה מצורף לכל העבירות הנעשים בדרכים שמולידים המחבלים שמסכנים הדרכים”.