No type of
wood chips are a problem if they are aged and allowed to release the antimicrobial compounds contained in the wood. Using your nose is a good way to tell if they are too fresh. Depending on conditions, Aging means spreading them no more than 18 inches thick. It will take much longer if they are in piles. If it smells nice, then it
should be aged more. If it smells like nothing then it should be good.
Many species of wood chips will harm soil microorganisms until they are aged, as they receive rain or watering, some of the compounds move into the soil where they can harm organisms. My
experience as a Soil Food Web Lab tech has shown me (via the microscope) time and again that if I use fresh wood chips (of most types) to make compost, they will kill the microorganisms and the pile will not heat up, even when inoculating the pile with the entire soil food web and having plenty of food for the microbes, the wood chips can neutralize all that biology in the presence of their favorite foods. That being said, the damage is likely to be less if chips are placed on top of the soil or in pathways rather than mixed in.
If you harm soil biology, you harm trophic levels in the soil food web, and subsequently you are harming nutrient cycling for your plants. So it is correct to say that wood chips don't kill plants directly, but they can certainly harm biology to varying degrees and affect plants accordingly.