All papers should start with a dictionary? No clearly not, so there's always going to be some assumed knowledge - words change their meaning and have different meaning to different people so we're already on to a loser just with the medium we're using.

So, the possibility of things like, say, a researcher not mentioning something that is standard practice in their lab that later is found to be a crucial part of the setup for an experiment seems high. But just like you don't want to provide a dictionary of standard terms with a paper you don't want to provide a list of the chemicals used to mop the floor, or a list of the lumen and colour temperature ratings of lights in the fume cupboards, or ...

IMO if a paper is not reproducible then yes it should be published but also the original team producing the paper should be challenged to reproduce the results. It's not a fight, we're all on the same team - work with them and try to find the reason for the lack of reproducibility.