First of all don't read too much into this premise. I'm not arguing every Cessationist congregation is an Ephesus or that you need to be Cessationist to be an Ephesus. And even though I'm a Continutationist making this observation, this potential relationship could be true even if Cessationism is true. Ephesus has the third best review of the Seven Churches so it's by no means an inherently derogatory association, and the two with better reports are NOT praised for their Doctrines.
One of the main things Ephesus is praised for is exposing and rejecting False Apostles, and while in the immediate context I think this refers to the same "ravenous wolves" Paul warned the Ephesians about at Miletus in Acts 20:29, in terms of applying this to then future and now contemporary Church issues I feel it can tie into how I in-spite of being a Continuationsit on the Spiritual Gifts in general do believe the Office of Apostle was only for the first generation of The Church, that being one required being an Eye Witness to The Resurrection and that Paul defined himself as the last to become an Apostle.
So I get uncomfortable when people like the host of The Prophecy Club calls himself an Apostle, but I think this can also apply to the Catholic/Orthodox concept of Apostolic succession, and to the Temple Lot Mormons calling their leaders a Quorum of Apostles. And any other Pentecostal or Charismatic leaders calling themselves an Apostle.
And I have other areas of disagreement with many of my fellow Continuationists, I have been considering rejecting the usual identification of Thyatira with the Catholic Church and instead seeing it's False Prophetess as embodying many of the excesses of the more problematic Charismatic tendencies.
My reading of Corinthians on this issue is Paul taking the same Contiuationist position I do and needing to deal with both Proto-Cessationists and overly reckless Charismatics causing problems in the Corinthian Church.
The main criticism of Ephesus is that they lost their First Love. I feel like rejecting the Spiritual Gifts is quite possibly the only way to truly do that. But even if Cessationism is true, I think many Cessationsits especially the Baptists should consider that their reactionary response to what some Contiuationists are doing wrong can potentially lead to that.
The fact that Paul's Epistle to Ephesus is one that gets into Spiritual Warfare a lot could also be evidence that Congregation was slowly becoming one that neglected the Spirit.
In which case I also think it's also highly likely for Sardis churches to be Cessationists since they are spiritually dead. They would be churches with Ephesus's vices but not it's virtues.