The only reason that Emperuman is present as Archa murthi-s at various places is that not everyone can go to Divya Desam-s to worship him. Given this, we are fortunate to serve him at our place where he has descended to.
There is no need to feel anxious about not having the desire to worship a Divya Desam Perumal just because of our involvement with the Perumal at a local temple. He will induce the desire in us to worship him at a Divya Desam. It is his extreme mercy that he has made us very involved with him at the temple in our locality.
It is also a true nature of a Srivaishnava to be involved with all Archa murthi-s Emperuman.