Amps are drawn not supplied so as long as voltage is correct the starter motor will draw as many amps as it is capable of, fitting a more powerful battery will allow the battery to sustain the high amps for longer than a lower power/older battery but you can't actually bully your starter motor, more likely it bullies the older battery that isn't capable of supplying the amps.
Well the talk of bullied starters I felt was more a whimsical comment than any real intent.... but there is some truth in it.
A battery may be 12v but when you put the demands of the starter on it, the draw on the current causes the battery’s voltage to drop. The larger the cold cranking ability of the battery the less likely the battery to drop the voltage.
In electric motor terms volts = rpm while current/amps = torque
So you could argue that with a good high powered battery while amps are drawn volts are pushed, and so a strong battery means it can push more volts for the same current draw.