Distributor filling itself with oil

You should. The breather is the INLET for the PCV system. It's not complete without it. Just because you do it, doesn't mean it's right. Here's a generic diagram for a correct operating PCV system. There is no "maybe" involved. Without the inlet, the PCV cannot do its job.
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Never said it was right, however, it does look like I was wrong. Trying to remember if I have a breather in my stash of parts...