I think the opposite? Don't quote me here...
Fresh wood requires nitrogen to decompose. Somehow acting like a nitrogen sponge, that then slow releases it as it breaks down. So, in the short term, wood in your soil will give a net negative nitrogen content. But, at the end of the woods life, when it is totally gone, your net nitrogen will be neutral. It acts as a slow release, of the nutrients already present in the environment. Very good for stabilizing soils in the long run.
But, as others suggested, I too would remove them, but, not because having it in there will kill your plants