Yeah better keep a rule that makes the first-turn advantage bigger

dibz's (#1 in tus Roper lately) winning percentage when he goes
1st : 80% (100 games sample against good/average ropers)
2nd: 65% (100 games sample against good/average ropers)
It's the one turn lead that u have at start + easier bazooka turn.
The bazooka turns can affect the result this way (assuming the rest of the game goes perfectly):
Both players make similar damage or no damage -> 1st player wins
1st player makes no damage while 2nd player makes ~20 or full damage -> draw
1st player makes ~20 dmg while 2nd player makes full damage -> draw
The 1st player can lose his lead but not lose the game (unless he hits himself with bazooka or something else stupid).
Now look at dibz's numbers:
1st player makes full damage by 70% chance -> 1st player retains the lead
1st player makes no damage by 12% chance -> 1st player retains the lead unless 2nd player uses his 58% chance to make ~20 or full damage
1st player makes ~20 damage by 88% chance -> 1st player retains the lead unless 2nd player uses his 30% chance to make full damage
There's greater chance for losing the lead on first turns when bazooka first is on and not off. It's however more probable that the 1st player increases his lead instead.