Which of the two models is better to analyze factors that influence the appearance of a certain event when the data is not censored? Cox Regression or Logistic Regression? Let´s add that time to the event is not really relevant.
Here are two papers that demonstrate the difference In short logistic regression is for categorical DVs while Cox regression is for time to event data. Your case appears to be time to event. David Booth
Cox regression (or proportional hazards regression) is method for investigating the effect of several variables upon the time a specified event takes to happen. We calculate hazard ratio here , Whereas in logistic regression time factor is not relevant and is used when dependent variable is dichotomous.