What was being tested was a different lab, with different materials, trying to get the "same" results, for some definition of same. If you give 100 programmers an algorithms book, and tell them to produce code for a binary search, and only 25% of the programmers are able to make something that works, does that mean that binary search is only 25% reproducible?
If five different companies benchmark five different web frameworks for their application, and come to 2-4 different answers about which one is the 'best,' does that mean that the benchmarks are not reproducible? Of course not.
What's being highlighted here in this study is the extreme diversity of biological models. And one doesn't necessarily expect exact reproducibility in other people's hands, because we simply don't have technology to characterize every single aspect of a biological model, and it's impossible sometimes to even recreate the exact same biological context. Is something "reproducible" if it means that it replicates in 5% of other cell lines, 25% of other cell lines?
I don't follow you here. The above does not seem to be the current meaning of "reproducible":
The same person doing the same experiment is repeatable, not reproducible. And I don't believe even the repeatable bar has been met, as very few projects have funding to do the same experiment twice.
The fact that a given investigator can "repeat" his experiment have very low weight among professional scientists, because we are all human. Irving Langmuir's famous talk about Pathological Science, and especially the sad story of N-rays, is a warning to every scientist.