MSL
LMSL
MDT
ellipsoid
geoid
tide station/datum point
MSL + MDT = LMSL
N
local geodetic datum
predicted storm
surge reach
actual storm
surge reach
unexpected area of storm surge
bias
The selected local geodetic datum is a geopotential surface separated from the global geoid by a bias.
In this context, LMSL on the opposite side of the island would be higher than the local geodetic datum.
Implication is that a storm surge from that side would run up higher on land than the orthometric heights might imply.
LMSL is very well defined at tide stations but shoreline observations are necessary to fill in along other shorelines.
Also, lidar observations are necessary to develop a more complete model of MDT (thereby deriving LMSL) over the transition from near shore to deeper offshore.
You would get similar problems if a datum point is established on one island and used for all of them.