You are right.. But every chief and officer is different. Gen Musharraf is former commando. Similarly, Lt gen Haroon was GOC of SSG. He parachuted with his men during Swat operation. you can find his pics, taking meal in forward bunkers/posts.
If you have observed our air chief gives a fly past during national day parade. Similarly, GOC of SSG with his team show free fall performance on the day. You can question why a 4 and 3 star general do such stunts. It shows the trust, not only on your machines but also staff who maintains it, and on your training. It also increases the moral of the soldiers.
So overall, it is the tradition that GOC of SSG takes the lead and go in front lines. In this case, Gen Mush was CAS though. But there was a GOC in the kargil when Capt Romel got bullet (old program, can't recall exactly).
@Windjammer @PanzerKiel Sir any more precedent of GOC at forward bunker?