Only melee weapons can be Eager. Also unlike Eager, Parrying and Warning, there is no explicit text in the description saying that a lucky weapon needs to be held to grant its bonus.
If "weapons must be held to grant bonus" is a default state, then they are merely being redundant for those three.
IF however, it is not the default case...then 50 +1 Lucky Shurikens means 50 rerolls a day for attack rolls, and none of them are specified to the specific weapon with that property...
Can someone with the RC check "Magic Weapons" for me? I suspect that I might have just found a use for Vorpal Weapons....
*looks for other properties*
Oh wow. If you can stack +1 Hunting shurikens, anyone with a level of Ranger can seriously abuse the retraining rules to get a crazy bonus against their current major enemy type. For the sake of my sanity, someone please find the text forbidding this...