Number 2 and number 4 look very similar to me. Are you projecting the detail from your original (non-Zremeshed) mesh? That is the source mesh. Your Zremeshed mesh is the target mesh, and must be subdivided sufficiently to hold the projected detail.
There are two methods listed in the linked article. You may have better luck with one than the other, but follow the steps carefully. It may take some trial and error to dial in the settings to get the desired results.
If youre sure you’re doing it correctly, the flow of the topology in your Zremeshed subtool may simply not be able to create that detail without distortion. You can try using the Zremesher guides to direct the poly flow during Zremshing.