lalitA is by no yardstick a upadEvatA. I mentioned earlier that lalitA is one of the sixteen nityAs and that the other fifteen are incorporated in Her. She as lalitA is the culmination of Everything and hence the name lalitAmbikA is the last name in the sahasranAma. I am sure you will appreciate that the sahasranAma and the triSatI will not be named after a upadEvatA!One can justify by considering jagadamba as the boss and lalita as a 'upadevata'(you will recall lalitA is just one of the fifteen nityA) in which context prcOdana (persuasion) may be meaningful.
If you want to alter the lyric it must be "matayaH naH pracOdayAt" (ikArAnta strIli^Nga bahuvacanam)
As for matayaH naH pracOdayAt, I think that is incorrect. matayaH is the bahuvacana in the first case (nominative) while matIH is the bahuvacana in the accusative 2nd case. (engaL madiyai UkkuvippAyAga).