One objection points out that two different descriptions can belong to the same group without having identical meanings. Another notes that the verse changes its expression from people to a household, so the precise object of each statement matters.
The response is to limit the inference: the passage supports the inseparability of genuine faith and religious submission, not strict dictionary synonymy. Co-predication does not by itself entail conceptual identity.
This distinction is valuable in scriptural argument: evidence showing that two qualities occur together does not necessarily establish that the two defining concepts are linguistically the same.