This is a great summary of the conclusions people come to but it still show a lack of understanding of the Assumptions that are being made. let me list the 3 different views. All views are different method of interpretation of the Scripture. Each in contrast with the other.
Method 1
Covenant Theology View: is a framework for biblical interpretations of the bible, and a conceptual overview and
interpretive framework for understanding the overall structure of the
Bible. It uses the theological concept of a
covenant as an organizing principle for
Christian theology. In this view Covenants once established are continual and not replaced by any covenants that come after it. In fact if you are in a later covenant you are automatically in a prior covenant. the later covenant automatically incorporates the prior covenant. For example the Abraham was automatically part of the Creation Covenant, Adam's Covenant and Noah's Covenant when he received his Covenant. David was part of Moses Covenant, Abraham Covenant, Noah's Covenant, Adam's Covenant & the Creation Covenant when he received his covenant , When believers are born again they are born in the new covenants which included ALL the prior Coven\ants. This is the oldest view on covenants. SDA's, Roman Catholic, Orthodox and Reformers use this method.
Method 2
New Covenant Theology: Is a Theological frame work for interpreting the Bible, Which put Christ at the center the redemption and views Christ as the fulfillment of All prior covenants. All Prior Covenant end at Him, with that all laws end and all ending and a new law being established with its own requirements. the youngest of the view, most fundamental use this view.
Method 3
Dispensational Theology : is a framework for interpretations of the bible,The bible is divided up into dispensations or era's, each one different from the previous era. Each having different stewards, laws and requirements. Developed in the 1800 the author John Darby among the Plymouth Breathen it is responsible for influencing the Scofield bible, DL moody, the Niagara Conference & Dallas Theological Seminary