This is also possible, I suppose. My rationale is that the Jews don't quite fall into the persona non grata position they occupied in the Roman Empire, which makes the political and social need for early Christians to separate themselves from Judaism less pressing. Of course, early Christians weren't exactly any more beloved in the wider Roman world at the time, so it's entirely possible, perhaps even probable, that a "more respectable" Judaism would still want to keep its distance from Christianity, even if the opposite were less true.