I had this on my 1968 C3, so I took the longwinded and possibly silly method of "fixing" it by replacing all the vacuum stuff with electric motors. Yay! No vacuum issues, and a motor on each light operating at the same time will always mean the lights open at the same time, right? Right?
Nope. The passenger one didn't want to really open at all in the new world.
Long story cut very short - get up into the headlight units, clean up the moving parts that are connected to the rod from the vac actuator (or motor in my case now) and then lubricate the heck out of the whole mechanism.
My "slow" issue was primarily because the passenger side was slightly stiff / seized compared to the driver side. I've done as best I can with the units still in the car (access not so great), so ideally it all needs to come out and be disassembled and lubricated properly. Mine now works fine enough for me, but the passenger side is "just" slower than the drivers side. Enough to be noticed, but not enough for me to really care all that much about.