Soft minutes don't exist in the NHL.
You know those articles just highlight that Corsi differences according to ZS/QoC are predictably low right?
The authors are identifying where the chosen metric (corsi) in many ways does not reflect what we would expect the result to be from the eye test.
The main issue being that Corsi is a volume statistic in a sport where shots in general for the TEAM are not that numerous and individual player shots even less so.
For example a typical game has 100 corsi events (for and against). A defence pairing is on for 1/3 of the game so in a crude way they would expect 33 corsi events. There are four forward lines so if they faced each line equally, they would experience ~8 corsi events total per game against each one.
That is already a very low number, and the only measure we have is a differential. So of the 8 corsi events total, we would need to see an extreme swing to have anything really affect the results like 7 for to 1 against. This would have to happen all the time to have an ongoing effect on the differential. But it clearly doesn't.
Anytime we use shot volume as a fine grain analysis tool it's going to have issues. There are just not that many events, and the events are not discrete like in baseball.
Assuming the zone starts are equally biased that's 4 events per zone every game versus any given forward line for a typical d-pairing. So you're going to have similar issues here with regards to the effect of zone starts on corsi.
The first article actually references a contradictory article where Ferrari found that QoC is a driving force so the author fully realizes that the work is ongoing. He also shows that as QoC is currently formulated that there is a clear increase in corsi when going against worse players. His only real argument is that effect seems to go away when you take into account the overall ice time.
Whether or not that disappearance is real or just an effect of the limitations of the metric is not a conclusion of that first article. It's a great article and properly written because he includes the conclusions of other workers, he recognizes that his result is not the same as theirs, and he welcomes future work to decide who is right. He also calls into question whether the metric involved can really tell us what is happening.