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This may be a sign that your plants need to be divided.
These articles have more information.

https://www.gardeningknowhow.com/ornamental/bulbs/lily/tiger-lily-care.htm
https://www.gardeningknowhow.com/ornamental/bulbs/lily/dividing-lily-plants.htm

No, they do not reseed but they can easily be divided if more plants are desired. Dig up the entire clump and use your hands to tease apart the clump. If it is an old plant, throw out the tubers from the center and replant the newer growth from the edges. This can be done in spring or fall. Even if you managed to grow one from seed, it would take years to reach bloom stage.

Can you include a photo? This can help me to see what is going on. Are there any other symptoms, like spots, or discoloration? How powerful, and what kind of light are you using? A photo will be very helpful if you can provide one. In the meantime this article will give you advice on their care: https://www.gardeningknowhow.com/ornamental/bulbs/lily/tiger-lily-care.htm

Except for some newer re-blooming varieties, tiger lilies bloom only in spring. When all the flower buds on a stem are done, cut the stem to the ground.

Some strains of lily have this white fuzz and it is normal. That's hard to believe, I know. If you do an image search for "white fuzz on lily buds" you'll see many images of it. Many images relate to questions from panicky or confused gardeners, just like you.

Wait until the seed capsule and the stem under it turn brown. A gentle squeeze will cause the capsule to open when it is ready. Another option is to tie cheesecloth around the capsule and trap the seeds when they fall.