Can 'the church which is in thy house' be a closer representation of the Body of Christ than formal, denominational, gatherings?

My question is not that which was asked previously Where should the church gather ? which was a question about h*ow should persons gather* in a locality and w*hat arrangement should be made* for that. My question is different. I live in England and I recently travelled elsewhere and was invited to attend a meeting where someone spoke from a platform and prayed and some verses were sung from a screen above us. But also my host invited me home and there we read through a book of the bible together, chapter by chapter alternately ; we sang a psalm and we knelt and prayed. I realised that what we had done in the home had been more spiritual, more edifying and more charitable than the formal meeting in a large building. If one, out of desire 'not to forsake the assembling together' meets in a formal setting and submits to an exterior form of worship which is not altogether satisfactory, then one may not feel that that gathering is a true representation of the 'church', that is to say the body of Christ and the house of God. Is it the case that one may experience a closer representation of that which Christ builds ('I will build my church') in one's own home ? And is that what Paul alludes to when he writes of 'the church which is in their house' Romans 16:3-5 and 'the church in thy house' Philemon 1:2 ? This is no technical point or mere inquisitive inquiry. For those of us who believe we are seeing the end times and the appalling effects of an arising opposition to the gospel which 'uprises' (*apostasis*) and elbows out that which is truly of Christ in order to take over the 'temple' and sit within it 'as God' and 'being worshipped', 2 Thessalonians 2:4 - to us who see that happening, the reality of the church being 'in our house' is something that needs to be seriously thought about. Is it the case that when Jesus Christ says 'where two or three are gathered together in my name there am I in the midst', Matthew 18:20, that what is done *in the home* may more closely align with his words than what one is doing publicly, for the sake of corporate conformity ? My question is asked of those who are trinitarian and protestant. >Greet Priscilla and Aquila my helpers in Christ Jesus: Who have for my life laid down their own necks: unto whom not only I give thanks, but also all the churches of the Gentiles. Likewise greet **the church that is in their house.** [Romans 16:3-5 KJV] >... unto Philemon our dearly beloved, and fellowlabourer, And to our beloved Apphia, and Archippus our fellowsoldier, and to **the church in thy house**: [Philemon 1:2 KJV]