Because I have family members with differing theological beliefs, I began studying different elements of Christianity a few yrs ago. The first thing I studied was worship. I have read several books on worship and every one of them agrees with what you say.
Books I have read regarding worship: With Reverence and Awe, DG Hart and John Muether; The Lord's Service-The Grace of Covenant Renewal Worship, Jeffrey Meyers; and Covenantal Worship, RJ Gore, Jr.
CC&E