I'm seeing the same thing on my end as the OP. I assumed someone else would've reported it by now so I didn't even think to jump on here and report it.
It seems to affect me the most when I'm in a city setting and performance starts to suffer. It acts like the input/polling rate from the mouse dips along with the framerate.
When I first noticed it, I thought I might've inadvertently turned down my mouse sensitivity while opening doors but I actually hadn't.
I too have a Logitech gaming mouse (g500s), but I can't imagine it's related to that.