How does the ranking for pick a friend work?

Just curious, i ultra evod my legendary to 6 stars about 15 mins after the event for the final evo peice was released. But since then i have yet to have any1 pick it? Im yet to see any other 6 star monster as a pickable friend and it seems to rank them by stars, so shouldnt mine be near the top of the list as its 6/6?
And yes, it is set as my share monster.

It’s ordered based on when you played last, so people who played just a few minutes ago would show up first on your list. At least I think so