"hundreds" is actually what I meant by insignificant to a modern driver.
For example: https://images.anandtech.com/graphs/graph11223/86100.png
Granted that's a 1060 but since we're looking at driver CPU overhead that shouldn't matter much. So 2.3 million draw calls per second in DX11 single threaded.
It's not until you start getting into the 10k+ draw calls a frame that you are putting your 60fps at risk.
It's often worth the work to avoid this anyway, after all faster is better if you're an engine/renderer, but it takes a lot for it to be an actual _problem_