Short answer: Renamed First Home Grant in 2019. Same program, same rules, new name.
KiwiSaver HomeStart was renamed the First Home Grant in 2019. It is the same program with the same rules. If you see old references to HomeStart, they mean the First Home Grant. The change was just a name change, not a rule change.
Old Name: KiwiSaver HomeStart
New Name: First Home Grant
Amount: $5,000-$10,000
Change: Name only