We need a language to read a book, and that affects our thought process, as we start thinking like the author and behave in a manner we perceive from the books. Like how someone speaks under the influence of alcohol, books n authors too influence.
Sawdust that is created from cutting natural wood is safe for your compost no matter what kind of tree the wood comes from. Just make sure the wood has not been treated with any chemicals. Another option with sawdust is to try mixing it in with potting soil.
I get away with composting a lot of cedar and pine sawdust but I live in a climate that eats organic matter for a snack. It is often hot and wet here so having some slow to rot stuff mixed into the rest is probably a good thing.