Seed "recycling" works best if one can find an unrelated swap, for example, a nearby garden club, and use the seeds where they are more likely to be new to that group of swappers. My package of extra goodies from Thomas was so big that I enlisted a friend to help distribute it. She lives over an hour away from me, so she has gardening friends and neighbors that I don't know. Also she just installed a high tunnel and enlarged her garden. I saw her today, and she was beaming as she praised the excellent germination rate of those seeds.
Other possibilities are donation to a garden club, community garden, school project, nursing homes that have garden space for their residents, etc.
It's okay to recycle them in the garden.org swaps, but there may be even better ways to give them homes.