The question—and answer—are actually the same.
In major, you have seven scale degrees, and the I
, IV
, and V
chords cover all seven scale degrees.
In minor, it's exactly the same. You have seven scale degrees, and even though scale-degrees 3, 6, and 7 are lowered from the major, those seven scale degrees are still covered by the i
, iv
, and v
chords. i
includes scale-degrees 1, 3, and 5; iv
includes 2, 4, and 6; and v
includes 5, 7, and 2.
But note that the seven scale degrees could also be exhausted by the i
, iv
, and VII
chords. But using these chords will likely push you towards the relative major, since those chords create a circle-of-fifths progression of vi
–ii
–V
that would really want to move to I
.
And, as the answers in your other question say, just because these chords exhaust the given scale degrees does not mean that your harmonization is guaranteed to be musical. Nor does it guarantee that every aspect of the progression will be syntactically correct according to the style you're attempting to emulate.
And, before you ask: the same is true for harmonic minor, and for melodic minor (although you'd have both major and minor forms of the IV
and V
chords), and for modes, as well.