Geoff, in being a push-to system, YOU do the moving of the telescope. The kit you bought uses encoders and an interface to talk to your phone or computer using programs such as Sky Safari, so you move to scope to the desired object.
What is wrong in the Ebay ad is the use of the word "automation" which implies a go-to system. But the ad does say it is a push-to system.
The encoders are not gears to move the scope. They are just counters that are used to help position the scope relative to the sky.
This system can be very effective in locating objects. After you go through an alignment procedure, you just need to select the object you want to find, and then move the scope following the directions given to you by Sky Safari or whatever program/app you are using. I use another push-to system with my various dobs, the Nexus DSC from Astro Devices. I use this with my 8", 12" & 17.5" dobs. Go-to is not necessary. A push-to system can be all you may actually need to help you find stuff in the sky
The differences between different push-to systems includes the quality and resolution (number of steps it counts) of the encoders. Your encoders have 4096 steps per 360° revolution, which is modest but still very usable. I would suggest using your lowest magnification eyepiece in your scope when first locating any object, and once you have it centered in your scope you can then change to higher magnification if you like.
Alex.
PS, your first post on IIS too!