Ali, I have retested with your texture files using the latest release of ADE-GP and can find no difficulty - with either the stock apron texture or its replacement texture.
As we are discussing privately, there is a question about how you are configuring/applying the replacement apron texture. It appears you may be doing so with a ground poly outside the ADE file, since there is a copy of the replacement texture in both your Textures and Textures_Dpy folders and neither Draw Surface or Draw Detail is checked for either apron. Or, perhaps you've got a third-party application (which, in this case, seems incompatible).
I had to check these "Draw" items to have the aprons displayed. Before that, the lines were displayed on the terrain surface. After checking, the lines were displayed on top of the aprons, irrespective of which apron texture was used. (I substituted the replacement texture for the stock texture in the PV4\Texture folder - which would be the usual way to substitute apron textures).
I'm happy to continue to work with you privately to address the texture configuration issue, but I can find no difficulty with ADE-GP.