[kroeckx]

For the torque, you can use a low current using more windings, which has the same effect of having a higher current with less windings.

The acceleration you can reach is mostly limited by the peak current and the force constant, but the maximum speed you can reach at that acceleration is mostly limited by the voltage you have available because of the back-EMF. A simplified formula is that the voltage you need is R * I + v * BEMF. The higher the voltage is, the better the insulation between the windings needs to be. You need to find a balance between the different properties.

[happyopossum]

More windings = more weight - you're gonna pay for it somewhere.

[sudosysgen]

Sure but the wiring is thinner, thereby somewhat equalising.