Monster Familiar cards low drop rate due high level?

I was wondering,

Lets say a Lycanthrope is Lv 129* (Just checked) And i'm a 163 Drk. Would this mean
the drop rate of the familiar card decreases too? Or is it just the meso/exp/equips?

If this is the case I guess it would be better to hunt the card with a character around lv 129*?

No, it doesn't decrease. Even with my 19x character, I get familiar drops just as often as everyone else on mobs under lvl 150.