no, it would be worse, the pains played with jiraya they went from 1 0n 1 to 2 0n 1 to 3 0n 1 t0 6 on 1, they all could have came out easily and killed jiraya neg diff, if kakashi is there more pains would have come out...
we seen how easily deva pain stomped kakashi even while kakashi figured his jutsu out, kakashi still couldnt touch him, nothing would changed, and kakashi had help and all those ninja except choji died, so all nagato has to do is bring out deva from the start of the fight...also kakashi cant beat that dog, and he doesnt have summons on that level like jiraya's told to combat the dog(s) nor does he have the chakra reserves to even make it to through the fight...
like i said the fight would have been worse if kakashi was there because the pains would have not b e playing around sending out 1 to gradually increase to all six pains, instead they would have sent out more at once