Most tours will encounter car traffic at some point. Generally, this occurs when entering or leaving towns at the beginning or end of each day.
It's important to note, though, that tour operators pick routes not only for historical significance, scenery, and proximity to attractions but also for safe and enjoyable cycling. If the tour ride on roads, they are often back-county or low traffic roads.
For further details, be sure to review the "Surface and Terrain" information on the Program tab for individual tours.
Still concerned? Consider a tour that's primarily on bike paths!