Yes, definitely plant them now.
The normal, healthy growth pattern for lily bulbs planted in the spring or the fall is to grow and establish roots first, that allow for strong growth of the stem later. Since your bulbs have skipped this first step, it's stressful, but not necessarily a doomsday scenario. Don't expect a floral display this year.
So it's common to see lilies in this situation grow short stems, tightly packed, small leaves, and when buds develop, the plant is often stunted, actual bloom (if buds don't abort) is delayed and often distorted. Don't be alarmed, next year things should be normal, although overall, the plant will be smaller.
Of all these needs, flower buds and flowers have the greatest priority. They will sap the bulk of the bulb resources, at the expense of leaf, root and bulb growth.
If it were me, especially since you have so many, I would remove the tiny flower buds as soon as I am able on most of them. You will find that these disbudded plants will grow bigger with more leaf area to replenish the bulb's reserves for next year's bloom. Next year, you will observe a huge difference between plants that were disbudded and those that were left to flower. It would be a good and satisfying experiment.
