This still dosen't wash
#1. As noted elsewhere in this post you have any where from 4 to 12 seconds before the thing goes off, AFTER THE PIN IS PULLED AND THE SAFETY LEVER IS RELEASED.
#2. The #1 rule in dealing with grenades is YOU DON"T PICK "EM UP.... you YELL... "GRENADE!!!!" AND HIT THE DIRT
Picking them up and tossing them away to save everyones life only happens in the movies.
That said, the ONLY time I saw a guy do that it went off just as he stooped over to pick it up... just like Max, ....."cept Max was luckier