I'm not opposed to this but I don't see the QoL in it. How this would work is more important than the idea itself.

Lets say you are in a party with your friends, now you want to find out who's done what. So you open the party window to see everyone and then...
-Parse through a bunch of tiny symbols somewhere next to their name?
-Click a drop down menu for each of them?
-Click a universal drop down menu that only lists the ones everyone has done?

Or is it going to be another listed item under the social menu that you click on to bring up another window with your party and all the roulettes they've done?

For it to be a QoL feature then its use needs to make life easier in some way, and I'm not seeing how opening several menus or drop down windows is easier than asking "Who's up for LV 80 roulette?" And when you consider if multiple roulettes aren't done, you still have to ask "Which first?"