Remington had a recall over something just like this, If the safety was engaged, and the trigger pulled, the rifle would not go off, UNTIL, the safety was taken off, then BOOM. I like very light triggers, but in the field I use 2lbs or more except for my set triggers, 4lbs, if just taken up and fired, but if you have a little time, push the trigger forward and now your at 8oz. The cool thing about set triggers is the original sear engagement exits, the trigger is pre-loaded forward, and has a helper spring to propel it forward to the sear, and release it, although extremely light, the sear engagement is still the 4lbs, it is just slapped hard.
I don't know of a trigger that go's under 2lbs and still has the safety, on a commercial rifle, unless it is a set trigger.
Gunsmith part, when I adjust triggers, after the adjustment, the rifle is slammed hard against the floor on the butt to see if it will jump off the sear, Then the bolt is worked very hard into battery and look for the same thing, last put the safety on, pull the trigger and let the safety off, and look for the same thing, all of this with an empty chamber of course, if it passes these tests, usually good, but if I do it in the summer on a factory trigger, it needs to be retested in freezing weather, A 2lb Remington factory trigger will usually not pass this test from warm season to freezing season so the normal adjustment is 2 1/2 lbs +.
In this case, adjustment to that level I would expect bad things to happen, now We don't know what rifle, but I cannot think of any rifle without a set trigger that has a safety, set to 6oz or even 1lb pull. The Remington 40x has such a trigger but no safety. The safety is trigger finger, and don't slam the bolt, but this is a competition rifle and is expected to be treated like one.