AMPk is produced at times of cell energy stress when the ratio of AMP to ATP reaches a threshold. AMPk has a whole of body function of reducing energy consumption and increasing energy production. This includes reducing the number  “poorly” performing mitochondrial (mitophagy). In healthy individuals this is beneficial but may be problematic in those with mitochondrial disease.
AMPk may have a role in the well known “mito crash” after a “over did it” day.
Anaerobic exercise that does cause energy stress may be more beneficial for mitochondrial disease treatment.