Can I ask what size and make prop you are using, the motor, and how many cells?
Commutation is all about the instant torque brushless motors produce on instant throttle up, especially in high inductance motors, like the 28 pole variety. Timing is determined by the ESC from reverse voltage coming back from the rotating motor during the off switching episodes because the motor is generating voltage. This is measured, and rotation is calculated, and the ESC attempts to sync the voltage-in with the voltage-out.
The problem with motor torque, is that it is inversely proportional to RPMs, and so the most torque is produced to get the motor rotating. Since volts is the EMF (electromotive force) or the pressure of the power supply, and Amps is the current, or the rate of power flow, when instant torque is applied, the flow is increased and the pressure is decreased -- so the Amps spike and voltage sags. As the voltage sags, it also means there is reduced voltage available to the ESC to match up to the reverse EMF.
When we went to 12S systems on 10S motors, adding more voltage adds more initial rotation speed requirement, and torque is increased proportionally. I did once put a CapPack on a system I was having timing issues with, since adding capacitance should help the instant voltage requirement. But I never really tested the system both ways so it's tough to know what really happened. CapPacks can't hurt, and are probably one of the best things you can do for your ESC. I've not had timing issues for a while since I stopped over-propping my systems, and started selecting the right motor instead, but I do wish I knew definitely if the capacitors actually helped.