That's mostly what I already do, though not always enough BP to keep doing so. I don't use my BP recovery items to do it unless I just need 1 point. Wish the game would reset/update it if I relogged or something, it seems to change in-between long breaks I think, either that or the people on the list are changing their mains.

I am rather curious how it 'lists' your friend support eidolons though. My alt has only my main account on its FL and sometimes it doesn't appear at all as support and sometimes it appears for more than 1 run in a row. Really weird.