This is the only other explanation that would occur to me as well.

Also that a daisies won't tell if the game ended up on "loves me" or on "loves me not".

However, the phrase is a bit awkward for this explanation because OP has it "daisies won't tell", but the game is played with only one daisy. Although I suppose you could play the game with multiple daisies to see if the answer changed, or for multiple names, or multiple people playing the game, or something. I think the context of the conversation would be needed.