I grew up shooting revolvers and don't believe they need a safety on the trigger. And I still can't figure out why Glocks need any kind of safety on the trigger. Neither one fires until you pull the trigger.
John
The reason Glock puts a safety on the trigger is that there is actual pulling tension on the trigger at all times and is countered by only the tang of the striker and its spring. When the slide is removed and you reset the trigger, the only thing preventing the trigger and its assembly from fulling activating is the trigger safety (the same is true when the trigger is reset and you lock back the slide). With the slide on and in battery and the trigger reset, the tang with all its spring force is enough to keep this from happening...but it is the only thing from keeping it from happening. So Glock installed the trigger safety as a sort of redundancy/back-up plan for some unforeseen ultra-weird event of the reset spring and perhaps some minimal outside force overcoming the strength of the striker spring, beginning an ignition.
The connector, in contrast acts like a leaf-spring which prevents the trigger from being reset until it is moved to the side by a projection on the underside of the slide during cycling. It does just about nothing to keep the trigger from self-activating if the trigger is fully reset.
Other pistol designs that have this Glock-esque trigger safety often put it there unnecessarily. They probably did it just to appease the safety conscious and or felt it was to become synonymous with polymer-frame designs. In any case, the trigger safety is mostly a redundancy in Glocks and completely useless in some, if not most other designs.