Yes, IF.
I do not believe those legions should ever have been sent on campaign with Rome's military strength so low. Those three legions should never have gone on campaign in the first place, because as we saw, they needed heavy axillary support in Germania. I think the entire campaign was doomed, especially since they were lead by such a naive commander. The fact the Romans before the battle were in such a long column was just asking for trouble.
But yes, I agree that if they had succeeded, it would have been better. But it was obvious they would not succeed (in my opinion).
~I agree with that. The desert was not the best position for a Roman army, as it was too open for the Parthian tactics of attack. If Rome has gone further into the East, I am certain it would have only lead to ruin. Carrhae shows us that even the strongest Roman army can be defeated relatively easily in the east.