Your reference says nothing about any house church operating apart from the institutional historic Church. There were no buildings erected before the late third century because of severe persecution at this time, with Christians having their property confiscated by the pagan Romans. I can come up with the names of dozens of martyrs of this era, you can't come up with one, because your anti-institutional, anti-authority group of house churches did not exist. There can't be a "church" without a qualified overseer as this is clearly laid out in the book of Acts.
They were united by the Eucharist, not by dominating dictatorship.
House Churches
Also, the first churches: The earliest churches were essentially what we would call today house churches. They typically met in well-to-do Christian homes. You may recall, in Acts 16 the church in Philippi met in the home of Lydia, and we know the church in Ephesus met in the home of Aquila and Priscilla. As Christianity grew, some homes were actually renovated to serve as churches.
Archaeologists have discovered a renovated house church in the small city of Dura, in present day Iraq. It could accommodate about sixty-five or seventy people in the main assembly room. It actually had a separate room for baptisms, with an actual baptistery. In this case, it was probably not large enough for full immersion baptism, but probably something along the lines of pouring or sprinkling.
It was not until the late third or early fourth century that we find buildings actually erected for the exclusive purpose of Christian worship. By the fifth century, there are some fifty churches in Rome.
Bock, D. L., Cardoza, F., Cohick, L. H., Evans, C. A., Goheen, M. W., James, F. A., III, … Moo, D. J. (2016). NT176 The Gospel Message in the Early Church. Bellingham, WA: Lexham Press.
2. Specific Designations of House Churches
a) Priscilla’s and Aquila’s House
Rom. 16:3–5; 1 Cor. 16:19
b) Jason’s House
Acts 17:5–7
c) Nympha’s House
Col. 4:15
d) Philemon’s House
Philem. 1–2
Elwell, W. A., & Buckwalter, D. (1996). Topical analysis of the Bible: with the New International Version (Vol. 5). Grand Rapids, MI: Baker Book House.
The lengthy list of greetings to members of the Roman house churches serves to show the extensive personal contacts that Paul already enjoys with Rome. Paul clearly intends to send the message that he knows and is concerned about many members of the church.
Seifrid, M. A. (2007). Romans. In Commentary on the New Testament use of the Old Testament (p. 692). Grand Rapids, MI; Nottingham, UK: Baker Academic; Apollos.