Some background about the volcano.
This volcano has a history of supereruptive episodes (and also minor/less severe activity in between), like for instance the last eruption was in 1536. The last supereruptive episode was approximately 12.000 years ago, but the one 37.000 years ago was even larger and had widespread effects and is basically why this volcano is sometimes nicknamed a "supervolcano" in pop media. It is a volcano with a history or producing calderas and near a populated area in the developed world which is why it will get that label faster than other volcanoes with similar characteristics.
It may also be interconnected with the at the moment dormant Vesuvius volcano, which has been dormant since 1944, quite a bit of time already and it is suggested that its currently in a cycle of recharging where the next eruption could be similar to that of Pompeii or that of 1631 but that could easily take another few centuries, since before the eruption that devastated Pompeii in Roman Times happened it is assumed it was dormant for a few centuries (2-3 centuries). It also has produced more severe eruptions in the past prior to Pompeii that aren't recorded by humans. However that volcano is not showing any unrest at the moment.
Obviously, a volcano like this will have a lot of episodes with seismic swarms and crisises and in a lot of those, nothing would happen. We also have no real clue or idea what would be necessary to trigger the worst case scenario a massive eruption. But given the sheer timescale involved in those eruptions, it's usually safer to predict that something like that wouldn't happen as it's more likely an eruption would be minor or even more likely that nothing would happen at all. And it is assumed that the threshold of unrest for an eruption of some kind would have to be higher than the crisis in the 1980s since that one didn't lead to an eruption.
The problem with Campi Flegrei specifically is that even a minor eruption would be devastating because it is located under a populated area. And that there is good evidence - according to a paper i've read - that it is building up to another caldera forming eruption (basically supereruption) according to the observed cycle we see.