Or just "newline-sensitive matching" ... does "full" add anything?
And since I'm nit-picking anyway - the word "sensitive" does nothing for me. Simply "newline-matching" would be sufficient, ideally. i.e., Do ". [^]" and "^$" match the newline character, or not.
[w] anchor newline-matching
[n] dot/inverse-bracket newline-matching
[s] newline-matching
These are precise, what-oriented, names compared to:
[w] record mode
[n] multi-line mode
[s] single-line mode
which are more descriptive, use-oriented, names.
Use of these label sets is not mutually exclusive...