Just from a quick look at some of your links, a Kaplan-Meier type analysis looks appropriate for BETonMace.
The BETonMace primary outcome dependent variable is "Time to first occurrence...". So any analysis has to look at time IMO, not just a count of MACE events.
"The primary aim of survival analysis is the modeling and analysis of 'time-to-event' data; that is, data that have as an end point the time when an event occurs. In this respect, events are not limited to death but may include all kinds of 'positive' or 'negative' events like myocardial infarction...."
From your second link...
The analysis of survival data: the Kaplan–Meier method
https://www.sciencedirect.com/science/article/pii/S0085253815533681
(my bolding)