My town was recently certified as "Tsunami Ready." We have an early warning siren that goes off every weds at noon, and have signage all over town.
There is boat space for everyone in town probably, but up the hill is the only call for us. If I was on my boat I would get to shore and get up a hill also. In the nearshore area I am, I can't reliably get to open water.
But, we have a lot of shallow water near town. In 1964, the water moved in and out very slowly here, but in towns with deep water close by, there was devastation. Cordova was a sanctuary where a lot of people came from Valdez, Tatitlek, and Chenega. Many are still here. those towns were devastated, as was Anchorage.
We take it very seriously, our phones alert us to earthquakes, and more than once we have gotten up in the middle of the night after a quake nearby, and prepared to go uphill. We have never made an actual exodus, but we actively decide to stay put.
A lot of the low lying areas around the City are fill, which would likely liquify in an earthquake, including our hospital. I'm more concerned about that impact locally, than I am a tsunami. But that is just for this particular spot.