Neither response really squares with being able to choose to roll after you've seen the first roll, does it? And Luck is a bit more than Advantage or Disadvantage - it's a forced Advantage or Disadvantage, overriding other conditions. It is a feat, after all.
Anyway, I think I've missed the obvious: you roll the first die, choose to be Lucky or not, then roll the second die and choose to be Lucky or not. Potentially using two points of Luck.