Restoring will not wipe your machine, only the extremely poor decision of the so called "clean install" that "trashes" your portable. The forum is overloaded with these posts. When its a custom build as in a desktop then that's all part of the journey, with portables its part of the plummet. You can try the support page which should get most everything, or wait to see if someone is kind enough to upload the esupport folder.
Only options outside of that is if your vendor has a liberal return policy or look up ASUS support for your area and they will reimage the drive with the original factory image for a fee.
Once you get this sorted I always recommend saving your own factory image. Easiest way is buy a new drive, clone the factory drive to the new one then put away the factory drive for the aw crap moments such as this one or if you need to send it in for service because they will not support anything outside of the factory specs under warranty, including "clean installs". These machines do not have much bloatware unless you bought a Best Buy hack job. It takes less than 5 minutes to clean out any bloatware with Ccleaner, much faster than a "clean install" especially when you dont have the esupport folder.

The restore partition you have now is for you current install and will not take it back to factory state like it would have before "Clean Install" You will not be able to restore to factory state unless you get a service center to re image the drive.

To really save yourself a lot of time and trouble your best bet would be to get the drive reimaged at a service center or try a return with your vendor.