I had a valve rotation discussion with Lycoming tech support in October 2017. Lycoming tech support told me (in the context of an IO-540-C4B5) that the rotator cap does *not* impart rotation onto the valves. The valves *can* rotate, but they don't have to.
Here's a good article on different types of valve rotators designs, including the (non-positive) thimble valve rotator, whose description matches the parallel valve Lycoming cylinders I've worked on:
https://marineengineersblogs.blogspo...ators.html?m=0
Note that the thimble valve rotator design *permits* rotation (when the valve is open) but does not *impart* rotation.