Looks like I solved the display issue on the CFMOTO!
I saw a comment on FB, where a guy mentioned pulling the 20A main fuse (he called it the starter relay fuse) with the ignition on can "reboot" the EFI and reset some non-starting issues that another guy was having. That got me thinking since the problem seemed to occur with the high current draw when cold starting primarily and appearing to affect the display/computer - perhaps starving it of power.
I removed the plug that covers the fuse and found that the display is no longer powered with the ignition on. That plug feeds the rest of the circuits downstream when the ignition is on and not if the fuse is removed or the plug removed. So that could explain why the display temporarily loses power on starting.
The plug looked a little dirty inside, but the electrical spades were good. I applied some Vaseline to them and made/broke the connection several times.
Voila! On a cold or hot start, the display remains powered up and doesn't cycle. The clock and mileage have remained good after a couple cold starts.
