You substitute general ab work with jogging???..
Hell no.
It has been shown that the core is first to contract during any movement of the arms and legs, stabilizing the spine and pelvis. Its the stable foundation is a prerequisite for force generation in our bodies. Force generation, simply put, is movements combined in a sequence to achieve an outcome.
From a strengthening view point?.
You ain’t getting no Bruce Lee core jogging down no street.
running / hops / sprinting / skipping? Your not isolating the core over exercises which are better specific.
No way.