Honestly, that's new to me, I haven't heard anything like that. You wouldn't happen to remember what the cart looked liked?
If I remember correctly, it was basically a regular yellow cartridge, with a very clear picture of Diddy Kong and Dixie Kong, each on one side of the Donkey Kong logo, with "Diddy's Kong Quest" written under it. I'm not sure I remember exactly, but that is what I can remember.
I don't remember there being any sticker on the back of the cartridge, however.
This is definitely a game i'd like to see resurface. What was the name of your Famiclone?
It was one of a few dozen Famiclone models that were around back in my day in Brazil. It was called "Mega Power", and was manufactured by a company called "NEO" or something. It was black, came with a blue light gun and two joysticks that were shaped and styled after Mega Drive/Genesis joysticks. The DKC2 cartridge was not included in the console, however. It was bought in retail for cheap.
I was eventually gifted a used Sega Master System by my cousins, and my parents gave my Famiclone away, alongside all of its cartridges. I don't know who has it presently, unfortunately. That was more than twenty years ago, so chances are it is gathering dust in someone's basement by now.
EDIT: I found a picture of the console in a Greek website!