The argument for an implied verb begins with the principle that verbal governance is primary; a participle governs by its relation to the verb.
لِأَنَّ الْفِعْلَ هُوَ الْأَصْلُ فِي الْعَمَلِ
Because the verb is primary in grammatical governance.
On this approach, «Zayd fī al-dār» involves an underlying relation of being or settling. Yet this is one argument in a genuine grammatical discussion, not a reason to suppress the rival interpretation.