The "house church" were local assemblies.
The church in the earliest form moved from house to house but moved as a complete assembly. There is no account of multiple house meetings at the same time by multiple groups.
This is simply not true. There were independent meetings in various houses at different times. I'll trace the evidence for you in a bit, but no reasonable scholar doing work in this period thinks this is true. The churches across the Mediterranean region had differing approaches, but the house church remained the primary congregating form for the first two hundred years of Christianity. No buildings were built prior to AD 300.
agedman said:
Furthermore, the "house church" is NOT the same as what is being presented in this thread. Rather, the folks are meeting as separate assemblies bound merely by electronics and modern constructs that are not Scriptural.
This is an erroneous understanding of what we're talking about. Though I don't believe you can find the modern instantiation of multi-sites directly in the NT, the idea of multiple assemblies as part of a larger regional/city church is clearly evident in the NT. Most modern forms of worship and ecclesiology are several steps beyond the NT ecclesiological presentation. That's fine, there is no singular ecclesiological form, of leadership and assembly, presented in the NT.
agedman said:
Secondly, there is no evidence that the NT churches such as the Ephesian church or Corinth church were not local assemblies gathered in one place.
For instance, the Ephesian assembly hall is well documented
here.
Wel, one this isn't a scholarly source but a tourist site. Secondly, I read the article and there isn't a basilica present until (quoting the piece)
His Basilica was built in the 6th century by Justinian I.
I'm not sure what your point is here. However, there are few surviving Christian structures from before AD 300. None of which bear the marks of large assembly halls.
agedman said:
No place in the Scriptures is the assembly divided into "house churches" meeting on the Lord's day to worship with some pastor or their staff running from place to place.
I disagree with this, but likely for different reasons than you're anticipating. Perhaps too much of our current ecclesiological methods are speaking into how the NT expression of ecclesiology is understood here. The churches in the NT didn't just meet on the "Lord's Day" but throughout the week as well. They celebrated the eucharist and received instruction during these times. Pastoral staff, or elders (depending on which author we're reading), were part of these assemblies.