I love the pictures!
Oh wow that pairing really did a number on those feathers. If I hadn't seen the parents I would have thought they might be frazzles with two copies of the frizzle gene. Still cute though! I almost wonder if your NN rooster has really subtle frizzle feathers (they don't really look like it but maybe on some of the saddle feathers)? It could just be the NN gene mixing with one copy of the frizzle gene makes the feathers in the offspring sparser though.
I'd call mom a frizzled satin. Satins are bred to the same standard as silkies but they either have smooth or non-silkied frizzled feathers rather than the regular silkie feathers or silkied frizzled feathers). Some people consider smooth feathered and frizzle feathered satins to still be silkies but it's kind of a debated topic. Most people when buying silkies expect those silkies to have silkied feathers so if I were selling silkies and satins I'd want to specify between the two to ensure people would be getting the type they wanted.
Satins aren't technically a recognized breed at this point, but I do know a lot of breeders are trying to get them recognized.
I would call those offspring satin/turken crosses. You could call them satin/NN crosses but since the NN gene has been bred into silkies and those silkies are called NN silkies (often nicknamed showgirls) it might cause confusion (people may assume you crossed a NN silkie and a satin rather than a regular full sized NN). It gets confusing when breed names go along with a gene.
Here is an image I pulled off google that actually shows what I'm talking about when I talk about silkies vs satins and feather types. Maybe it's helpful? I know seeing things rather than just having them explained is helpful for me anyway.
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