if you get to re-roll 1/2's on extra die, beyond the physical weapon damage roll, where do you stop?
What if you have 4 effects on top of your 2d6 greatsword? Unless there's a rule that says only one effect can hold, that may be posisble, esp. later in the game.
So in this hypothetical case, potentially + 1d4 + 1d4 + 1d4 + 1d4 ....it is very likely (50%) you will roll a 1/2 on any given 4-sided die, and thus get to re-roll (it could go down, but if you have a 1 already, you lose nothing) . So you may get 4 oppurtunities to come close to max damage for these non-weapon dice, on top of re-rolls for each 1d6 of the physical damage. If the extra effects shift to 1d6's - your chance to turn a 1 into a better number, is much higher.
Allowing the 1/2 re-roll rule to apply to weapon effects too could become pretty overpowered in my view, so I suppoprt just applying the RAW (as I do in pretty much all things).