You could place a query to the physicain as regards to this because it is medically known fact that it is sciatica which causes both these symptoms. If the physician does not agree, then you can ask for 724.4 which is radicular syndrome of lower limbs. Then again the documentation should have the terminology of Radiculopathy/ radicular syndrome which not there but it is "simply as low back pain radiating to the lower limbs"
Either way, be it 724.3 or 734.4 , it is not documented in the physician documentation/nor with the descriptive language.
So as such, one can not claim the merits of assigning the better code the payers may pay for either, though.
Best is to query the physician with these two codes selection which one would be the best as per the patient condition.
But one thing radicularpathy/syndrome is a terminology used for Sciatica , not abad choice though ?!!.
Really, doctors could have been more specific in their documentation in such pitfall scenario of coding diellemma.
Thank you good point, to ponder!!!