Do you know what wood the shavings are?
A friend of mine has a saw mill and saws mostly larch and some oak.
The oak saw dust is very acidic.
The larch sawdust is somewhat acidic and stays around a long time and doesn’t decompose quickly.
We use it in our compost toilet.
It sort of rots down a bit but it does have a nice crumbly texture.
The first builders bag (1tonne bag) of compost toilet emptyings is at the top of our field “maturing”. It doesn’t smell and has grass growing in it (Sorry Charles… I should weed that).
If the wood is pale soft wood shavings I would have thought they would be beneficial in compost.