there are several key points where it argues a philosophically inconsistent position.
First, it is supposedly neither Calvinist nor Arminian, and supposedly seeks a way to detach from the paradigm of those two arguing positions. But every point of argumentation revolves around TULIP. That's inconsistent
Regarding the doctrine of Total Depravity - The Calvinist doctrine hangs on and understanding of the doctrine of Original Sin. That we are "In Adam" by virtue of being physical descendants of his. That we receive a nature that is fallen and leaves us utterly depraved and devoid of any capacity to move toward God. There have been many philosophies put forth to relieve the emotional tension of babies dying and going to hell.
The traditionalist view may be one of the most inconsistent of all. Supposedly, we receive some kind of nature from Adam. What exactly is a nature? That's not Define anywhere. I have asked the go to traditionalist (Adam Harwood) on this issue and could not get a clear answer as to what constitutes a nature. However, they have determined that whatever this nature is, it makes everyone do bad things - even babies. So there's that part.
Connected to the issue of original sin and total depravity, we have the guilt and condemnation of man. Their position is that God condemns no one until that person reaches an age where they know right from wrong and then willfully do wrong.
The toddlers know right from wrong. if you tell a toddler don't touch the cookies, they will wait for an opportunity to be left alone in the room and then eat the cookies. Because they know it's wrong. If you tell a toddler to put that such-and-such back on the table, they will try to put it on a chair. or on the kitchen counter. Or in front of the fireplace. Anywhere except for you told them, and a fight will ensue. if that's not willful disobedience, I don't know what is
So you have this so-called nature which makes everyone do bad things, and God condemns people the very first time they do bad things wilfully, but babies doing willfully bad things are not punished by God. it's an inconsistent philosophy, driven by emotionalism.
Regarding the Perseverance of the Saints - many attempts have been made to delineate between perseverance and preservation. It's not the man persevering it's God preserving him....ok. however, it has been noted that it is a distinction without a distinction.
All of the New Testament passages about falling away or interpreted the same the exact way as a calvinist would. Jesus' words of knowing a tree by its fruit are taking the same exact way as a calvinist take them.
there are other philosophical inconsistencies to. Maybe if I have some more time home I'll lay down a few more