Yes but not enough to make a difference.
I disagree, there's a reason they put bitumen paper under the framing for houses where it sits on the concrete slab, despite it being in a [supposedly] completely dry environment and the framing being made from treated timber (at least here in NZ).
But as I said, it depends entirely on the kind of timber and the kind of treatment you're talking about. If you're using some kind of hardwood you'll be fine, but for soft wood like Pinus radiata (which is the most common timber used here, almost exclusively) you would be foolish not to use treated timber for at least the bottom plate of the stand, preferably the whole thing if you're not going to paint/seal it.
