Question on Luck Items

On the Items Guide page it states that some items are rumored to increase luck. My first question is does the “rumor” carry over when the Bunny Hat [B] and the Ring of the Bunny King [B] are convert to the loyalty corresponding items? Also, does Lucky Clover Belt [2013] boost luck as with the Lucky Clover Belt (blessed) that is listed in this guide?

Found that [2013] belt gives luck on this board.

Forgot to mention that when you equip the Lucky Clover Belt [2013] you get the lucky clover added to inventor. You can double click on it, select a target and then click on target. Your spell counter then counts down. Are you casting a luck buff or spell? You get no indication that the spell landed or that it did anything. What’s up with this?