Travis Fentiman posted this to an interesting to say the least discussion on the Covenanters forum on Facebook on whether the RPW applies to all worship or just public (the right answer is "all"). As to those who are fine with practices before the call to worship that they would not be after it is given, here is Owen:
…they who hold communion with Christ… will admit nothing, practice nothing, in the worship of God, private or public, but what they have his warrant for; unless it comes in his name, with ‘Thus saith the Lord Jesus’…” Comes from Communion with God but this is cited in his life: https://books.google.com/books?id=b... who hold communion with Christ" owen&f=false
…they who hold communion with Christ… will admit nothing, practice nothing, in the worship of God, private or public, but what they have his warrant for; unless it comes in his name, with ‘Thus saith the Lord Jesus’…” Comes from Communion with God but this is cited in his life: https://books.google.com/books?id=b... who hold communion with Christ" owen&f=false