Coming from a mostly C, Java and Perl background, I've got no personal issues with semi-colons, and often find myself adding them in languages where they're completely unnecessary, especially when switching back and forth.
Having said that, your argument could also apply to operator precedence and parentheses. Yet most languages implement this, and most users don't add them unless they're in doubt (more often with e.g. logical operators than arithmetic ones).
The rules aren't that complicated and the corner cases are (IMHO) a bit overrated. The way I see it, the more pressing reason would be the accepted JavaScript style, just like the positioning of braces.
Having said that, your argument could also apply to operator precedence and parentheses. Yet most languages implement this, and most users don't add them unless they're in doubt (more often with e.g. logical operators than arithmetic ones).
The rules aren't that complicated and the corner cases are (IMHO) a bit overrated. The way I see it, the more pressing reason would be the accepted JavaScript style, just like the positioning of braces.