glad you finally have some produce nuts NH. Its odd that is took 7 years because I have had 2 year old bushes produce flowers and 3 year olds that produce flowers and a few nuts.
yes, some even form a radicle while still on the tree/bush.
If you are direct seeding those I would plant them now. It gives them time to get the tap root going before the cold sets. Be sure to protect the nut. But you can also easily plant in containers now or store in fridge. Once they develop a radicle I have challenges storing in the fridge for a long time. It seems the moisture has to be just right or the radicle will either brown or become moldy due to the high carbohydrate content in the nut and storing it for months.
It is great you have a tree producing this late. Mine were finished by October 10th or so...but I am about 41.8 latitude and 1600'-1900' elevation so I suspect that makes a difference too.
A few particular trees of mine form burrs with very few pollinated nuts...and those nuts tend to be smaller. Seems similar to you. Then other bushes I have produce burrs where 95% contain pollinated nuts. I still have not figured out why this occurs but my guess is that some specimens are just not strong self pollinators. Maybe consider planting a few more upwind of the tree that has burrs w/o pollinated nuts.
Once the animals find mine, they clear me out in days! Squirrels, Turkey, Bear, Deer. The squirrels and bear smell them when the burrs start to split. Sometimes it seems like they fight over the nuts.
Missed this post, was in CO hunting and fishing.