Do I read correctly that by now the vaxed ladies are 33% less likely to have a successful birth?
Yes, but beware of drawing cause-effect conclusions from this. The authors are clear that they're only presenting data and calling for more research.
For example, it COULD be that the vaxx caused women to have fewer successful births. (I personally would not find that surprising.)
But alternatively, it COULD be that women who did not get vaxxed were more inclined to have frequent sex and were more likely to get pregnant. (Or put another way, women who got vaxxed felt less inclined to have sex.)
Correlation is not causation.
That said, I personally think the vaxx screwed up LOTS of body functions, and the likelihood of successful pregnancy is easy to screw up anyway, much less with a radical, untested, untrustworthy experimental gene therapy.