Even the recipients of second most prestigious scholarship, SAFOS, all stay in private housing.
Quoted from the abovementioned Today article:
"Even if housing type is far from the most accurate indicator of household earning power, it is interesting that of this year's five President's Scholars, two used to live HDB flats; <b>none, currently, live in public housing.</b>
Of the latest four Singapore Armed Forces (SAF) Overseas Scholars, one grew up in an HDB flat but <b>all now live in private homes</b>."
(boldface mine)