No, it wouldn't. The details are in Appendix X of the report.
The holes in the engine and the wing come mostly from secondary fragmentation of the front of the warhead, not the primary charge. This is a cone aligned with the direction of the missile, and it wouldn't hit the other side unless the missile was pointing that way (or if it was coming from the side as Almaz-Antey suggested):
View attachment 4468
This is supported by the observation that most of the holes in the engine were much larger than the holes in the cockpit (which you'd expect, because it wasn't the primary shrapnel, but just fragmented parts of the top of the warhead). The report says that only 5 of of the 47 holes were smaller ones, and none of them had gone all the way through the engine ring so it was not possible to determine direction where they came from (i.e. they could have been ricochets at lower velocity).
Yes, the warhead is designed to do
most of the damage to the sides, which it did. But it's not like if you are standing in front of this type of missile when it explodes you'd be unscathed. There are always some parts that go to other directions.