This is the first time I've had to replace one of these. Honestly this took me way too long to troubleshoot, because that cap is just not something that I ever think about.
This was on a customer's game, a Rollergames, that came in with a shopping list of things to fix, plus he wanted it converted to LEDs. The game was working fine with incandescents, but with LEDs installed it was strobing like crazy. I tried an LED OCD board in there, since I've been installing a lot of those lately, and it mostly took care of the problem, but it still wasn't quite right. Just on a hunch I tried a new 18,000mFd cap (the biggest I had) in place of the larger one and it almost completely eliminated the strobing. With the LED OCD board in there it looks perfect.
Check out the video

the first half is with the 18,000mFd piggybacked across the original 30,000mFd cap, the last half of the video is with just the original cap. Video was taken with the LED OCD board bypassed. That strobing is so intense that I should have figured this out right away.
IMG-6921 (resized).jpg

Here it is with a new filter cap and the LED OCD board installed