Any pre 2007 trigger could discharge without pulling the trigger. The chances of it happening are very slim, but very real. The new trigger is far less likely to do so. I haven't owned one of the newer guns, but reports I've read indicate that there are lots of problems. Some get a good one, others have had issues. If I wanted a Remington I'd factor in the cost of a new trigger into my budget just in case.
I actually own one of the guns that has discharged without pulling the trigger, but that alone would not prevent me from buying a Remington 700 if I saw one I liked. But They haven't made anything I have liked in years.