Turns out, yes:
In the previous version, the turn count always incremented at the end of the previous turn. So the start of the battle was considered “turn 1”, then your next turn was considered “turn 2”.
In 1.5, the enemies get a turn, so the start of the battle is “turn 1”, but the enemy is “turn 2” and your next turn is “turn 3”.
So because enemies are getting a turn in between your turns there’s a scoring difference.
You get more points on turn 1 because you defeated the opponent more efficiently.
There’s currently an ongoing (text based - so I won’t get a final answer today) discussion about this incidental change to the way turns are incremented in relation to PVP scoring so I’ll get back to you about if that ends up changing or not and why.