None. “Is X better than Y?” is rarely a good question. If you have a specific task in mind, it's fine to ask for a method to accomplish it, but it's best to leave your options open (what if the best solution is neither Quartz Scheduler nor Cron?).
Furthermore, you seem to answer your own question: you like Quartz Scheduler better for its DST handling (indeed, Cron only supports schedules in the system local time). So what are you asking?
If you have a valid question about Cron or Quartz Scheduler or scheduling a task on a unix system in general, you can ask on Unix & Linux. This is a system administration task, not a programming question. If you had a programming question, on unix or otherwise, Stack Overflow would be the right place (U&L doesn't take programming questions).