You can do whatever you like with the throttle, boost pumps, fuel valve etc BEFORE hitting the starter button, and it won't matter a rat's. All the boost pumps do is provide pressure up to the engine-driven pump. Nothing gets past that pump until it is running.
When you hit the starter and the N1 turns and the engine-driven fuel pump starts to push fuel into the engine, that is when your ducks should be in line.
Ensure the throttle is OFF when you hit the starter - no airflow through the engine would mean an awfully hot and expensive start if the throttle is open from the first rotation.
At 12-15% depending on temperature, open throttle to IDLE, it should light off.
It is possible to take the throttle all the way open at this stage, the N1 FCU is only concerned with getting the engine to idle RPM of 58% self-sustaining, but if it then sees that the throttle is anywhere but at idle, it will pour the fuel in and away goes the temperature. So, keep it at idle until it settles at 61%.
Of course you can start without the boost pumps on. You only need them above 6000'pa to push the fuel to the engine, because the atmospheric pressure is too low for the engine to suck hard enough.
The governor doesn't "close the throttle" as such, and it would need to be a rapid pedal turn to get such a result. There is less torque required to yaw right than to yaw left, and it is possible, if you are near your torque limits, to get a spike when stopping a right pedal turn, as the torque demands increase quickly.
CG in a B206? Very hard to get out of cg, unless you have 2 real porkers in the front seat and nothing else.
The 206L is another story, having a longer arm to play with, and movable fuel cg as it burns down. Devise yourself a simple Excel prog to sort this, or download an app.