'Hair-popping' is more about fully apexing the edge and, to some extent, making sure the geometry is relatively good for it. In other words, edge angles at/below 30° inclusive make it much easier, although it can still be done at pretty wide edge angles (the finish needs to be nearly perfect). It'll never happen if the edge isn't fully apexed in the first place, no matter how polished the bevels. It's generally accepted that apex width needs to be somewhere at/below 0.5 - 1 micron for shaving or popping hairs to happen reliably. That's why fully apexing is important.
It can happen at most any grit finish between ~ 200 (sometimes lower) and anything higher. Assuming a full apex, it gets relatively easy to accomplish at around ~ 320 (ANSI) and higher. See if you can make it happen at your first grit stage, then enhance it as you go higher.
True shaving edges are generally finished higher in order to make shaving comfortable on the skin by reducing or refining the edge's toothiness; but shaving and popping hairs can start happening much earlier in the grit sequence.