Believe me, Connie, any kind of stem is bunny food... I had some L. pumilum seed capsules ripening just a few weeks ago. They were ripening nicely and then one day the leaves and capsules were all gone.
Bunny popcorn I presume. I don't see then eating bulbs though. Mice and voles here will munch on lily bulbs that protrude through or are near the surface in the spring, and that is a problem, and they will dig into my pots in the cold-frames during the winter. I have found, for the latter problem, that mouse traps and glace cherries work very well. If, like me, you like fruit cakes you may inevitably have a tub if indestructible and un-aging sticky glace cherries. They work well, as the cherries are sticky enough that the mouse has to give it a good tug to get it off the trap.... You can see that I have given this a lot of thought. Various forms of "rabbit scram" work quite well to deter bunnies; essentially these are some combination of dried blood and pepper. They are effective, especially when the rabbits are young. Once the lilies get taller, they just tend to munch on the lower leaves (not the stems) or move onto my bedding pants
. Hope this helps.