Sorry, I didn't know you were experiencing a delay.
You
can't clone LM, it breaks the ADB function.
Considering LM is getting uninstalled after a certain amount of time suggests that Amazon is communicating those instructions to the FireTV, and you need to block that.
I use LM on my cube and it's never been uninstalled. My best guess is because I've disabled com.amazon.arcus.proxy like in the instructions
here
You can't disable that app without root, but you can firewall it so that Amazon can't communicate with it. Try
RethinkDNS, you can also use it to firewall / block the OTA app. RethinkDNS and a VPN can't be used simultaneously, it's one of the other.
I haven't tested this, but it's worth a shot.