I think previous candidates for new pandemic viruses did mislead us as those never got far enough to become a true pandemic. Those were scarier than SARS-CoV2 by lethality, but were manageable by the usual epidemiological tools. Now we've also seen how a virus can spread that is far more contagious, and how we are unable to stop such a virus.
What I found scary about SARS-CoV2 is just how much it improved between variants. It didn't have any special features like influenza to increase its potential there. It simply had the numbers, enormous amounts of hosts to evolve in. So potentially any virus that is able to spread as far initially could be able to evolve in a similar manner.
I think avoiding many if not most gain-of-function experiments is a reasonable lesson to learn from this pandemic.