Epistemic status: This is just my impression. It is based primarily on a few conversations with a conservation-inclined friend, and reading a tiny bit on wikipedia and in the economist.
Ruth Gates died in 2018. She seems to have been the highest profile researcher working on making coral reefs able to survive climate change. Quoting wikipedia:
"Coral Assisted Evolution, a $4 million research project, was funded by the Paul G. Allen Frontiers Group.[28] This supported Gates' research for four years from 2016, developing super corals that can withstand climate change.[...] If Gates' project is successful, it could save the US$9.9 trillion."
This means if there was only a 1-in-a-million chance that her project would have succeeded, it was STILL being underfunded! Well, actually we should probably look at the total amount of funding going into such projects, but I suspect that there are not many people working on it.
A brief answer from NOAA: "Coral reefs provide coastal protection for communities, habitat for fish, and millions of dollars in recreation and tourism, among other benefits." Like jetties and quays, reefs dissipate wave energy, lessening the impact of storms on the shore and coastal investments. Young and small fish can hide from larger fish in the nooks and crevices of reefs, helping more of them to reach adulthood and build up fishery stock.
Reef Resilience has additional numbers and citations under the "Economic Value" tab if you're curious!