I encourage you to read the article by William Webster.
If as you say
Lordship salvation is not really teaching what you are advocating for here!
There is a problem, mainly because not only is this William Webster's understanding, it is also the understanding of most of the Reformed community. It also involves some very essential issues when it comes to soteriology and we can't afford to be wrong on this one.
I have read the arguements of some of the ant-Lordship Salvationists and noticed they name names such as RC Sproul, John Murray, A.W. Pink, as they put it
Their doctrines of salvation are hardly distinguishable! The Roman Catholic Church pointed to James 2:14-26 and deemed it “the Achilles heel of the reformation.” Interestingly, it is regarded as the same by Lordship Salvationists in reference to Free Grace! Yet in light of all of this, the Apostle Paul has said, “For there must be also heresies among you, that they who are approved may be made manifest among you” (1 Cor. 11:19).

Pilgrim, am I overstating my case?