I got into a detailed conversation with Arcoid, the Vendor of Advanced Touchpad.
I was sent a link to an .apk to sideload - but it wouldn't. They sent me another .apk, but by then I had resolved the issue so:
Going back to Google Play/My Apps I noticed there were two identical tiles both named Advanced Touch . . .
The rest of the name running off the tile. Only when the tile is clicked can it be seen that one is for the Pro version.
The paid for Pro version installed on the Moto G from Google Play.
I now have the app running perfectly on my old Nexus 7 upgraded to Kit Kat and my Moto G running 4.3, but for which Kit Kat is promised in January.
It's a brilliant app. I can control my Windows 7 HTPC from my Nexus and now also from my new Android phone. Advanced Touchpad and the Android Logitech Squeezebox Controller will get very well used in my lounge - as will the CSipSimple App to latch onto my VOIP accounts.
For browsing and email I do not use the Tablet but a 11.5" Arm Chromebook.
I have asked Arcoid if there is (or could there be) a way to use Advanced Touchpad with a Chromebook or Chromebox? Of course I cannot install an .exe on the ChromeOS. That would be good!