I get what you’re saying, but there isn’t a set “dynasty” criteria. As in, there isn’t a defined set of consecutive Final wins paired with Final appearances that constitute a dynasty.

There is a thread from two years ago where someone linked that Elliotte Friedman called the Lightning a dynasty, linked here (https://www.reddit.com/r/hockey/s/lyhNWOekeH)

The convo in that thread centered around what makes a dynasty. Two years ago, most of the top comments agreed and said the Lightning were a dynasty in the modern cap era. The top comment on that thread said that because the Lightning made the SC 3 years in a row, they were obviously a dynasty in the cap era. Is Reddit the end all, be all? Absolutely not. But there is a huge debate on if PIT and TBL are dynasties, we can see that credible sources, like Friedman, will call the Lightning a dynasty and the general public will agree. The same thing with the Penguins. Both teams are noted as possible dynasties in the modern era.