First, I have very little Judo experience. Mostly taking Ukemi for someone in my aikido dojo who also does judo.
I think the techniques are technically the same. The difference is how you get yourself into position for the throw.
I feel that I tend to fall into a kosinage when it's done from an aikido perspective. I mean, I am lead into the throw and kind of fall over the hip.
From a judo perspective, I feel that my center is broken (somewhat violently) and then I'm thrown with a lot of power.
I hope people get what I'm trying to say.
Again just my humble opinon.