Bike with ignition on has consistent volts.
Bike when started has consistent voltage but after a minute voltage quickly goes up & down and sometimes by 2-3 volts.
Is that stator or rectifier typically? What keeps volts consistent?
Where are you taking measurements? At the battery terminals or elsewhere? The battery typically irons out transients due to its massive capacitance. What size battery do you have? Smaller batteries allow larger transients. The battery voltage should dominate the bikes system voltage if the wiring distribution is properly up to the task.
If you are starting with electric start, the battery will lose full charge due to extra load. The charging system will try to restore charge aggressively at first and when near charge restoration will no longer try as hard, telling the alternator to back off to protect the battery from overcharge.
This assumes your regulator knows what voltage is correct for your battery and your battery is in good condition. Battery full for lead acid is > 12.7v. Battery full for lithium is >13.2V.
Does your regulator know you have a lithium battery?
Do you know your battery is still working like new?
Forget trying to blame the stator, unless you see bullet holes or axe marks in it.
Cheers,