If they replaced that cap previously, they may have used one with a high tolerance - not good for timing.
Since it is a timing circuit, use a 5% part such as a C0G/NPO type cap.

Cap kits normally contain electrolytic caps. It is unusual to contain ceramics since they don't fail as often as electrolytics.

Does it look like C27 had been previously replaced? And what are the part markings on it (if you can see them)?

Yeah, that looks like an original glass encapsulated cap. Not real common for these to fail ... but once in a blue moon I suppose. I have seen failures of ceramic caps due to being physically abused (broken, cracked, etc) or by being subjected to lots o'voltage but seldom a random electrical failure.