That much alcohol will tend to extract flavour from the cinnamon sticks a bit faster than a lower ABV would. Also, since you used 4, you'll likely reach your desired amount of flavour quicker. Now the tricky part is when will it reach your desired amount of flavour? That's really up to you & your taste buds, it might be a few days, it might be a couple weeks, just depends on how much cinnamon you like in your cyser.
The other thing is once you've reached the desired amount of cinnamon flavour, you have to remove the cinnamon sticks or they'll continue to add more flavour until they have no more flavour to extract. Taste it periodically, when it reaches the point where you're happy with it, rack it off the cinnamon. In the future you can use sanitized fishing monofilament & tie your cinnamon sticks, or put them in a sort of "teabag" & suspend it in your carbouy. That makes it much easier to remove the spices when the desired saturation has been reached. Regards, GF.