If you mean the Huns as a whole turning eastwards, that would probably be a major plus for the Empire, since hurting the Sassanids would be very good for the empire, while in the West, if nothing else that is one less tribe to face. As for Atilla personally, he attacked the Eastern Roman Empire First, ravaged a portion of the Balkans, and then his forces caught a plague and turned back, much like they later did in the west.
Atilla himself I feel has always been given an undeserved level of significance. He was a scarey guy, but in his only real battle with a Roman army he lost to Flavius Aetius, and was forced to turn around. What he did personally was only a drop in the bucket of the Roman Empire's problems. Compared to the Goths, Franks, Vandals, and really even the Saxons, Atilla's Huns achieved little, as is evidensed by the fact that there were no Hunnic successor states carved out of the WRE. A much better PoD from the Roman Empire's perspective would be to replace one of the WRE's numerous horrifyingly incompetent emperors in the 350-450 time frame with a brilliant statesman who is also a capable military leader, on the order of Constantine I at least.