You can almost absolutely trust your charts in the USA.
The chart plotter is an aid to navigation
Entering this anchorage, as everywhere else, you'll want to use your eyes too.
Picture how far a shoal extends as a fraction of the total width, then "see" the shoal as you enter in your mind, pick out convenient ranges to keep the boat between, etc. Also, look at what your chart plotter says for position.
is about using all available inputs. The chart plotter position is just one.
Use them all to navigate safely.