When the Sri Vaishnava-s who have performed pancha-samskaaram pray to Perumal to fulfil materialistic needs, can they be accepted as bhagavatas?

If the Sri Vaishnava-s who have performed pancha-samskaaram only pray to Perumal, they are bhagavatas, regardless of the fact they pray to him for material or spiritual needs. When one prays only to Perumal, one is bhagavata.