Early and similar algorithms give you a parse forest rather than a parse tree. For a programming language you don't want to have your grammar be ambiguous. When Early gives you a bunch of alternative parse trees, how do you disambiguate?
If you are parsing incorrect programs, you want resilience in the parser, including considering alternate parsings and generation of parses of sections of the file.
Consider the problem of parsing a C program that has NOT been put through the preprocessor. You want to be able to do this for structure editors and source-to-source transformation systems.
Of course parsing without cpp is, in general, hopeless. But for something like a structure-aware editor you don't need to parse it perfectly, just "good enough". Ditto for a source-to-source transformation system.
It's not that the grammar is ambiguous, it's that the thing you're parsing may not even be in the language generated by the grammar. But you want to parse it as well as possible, and there may be more than one way to do that.
wow, absolutely not. if i'm parsing a programming language I want to basically stop and bail from the current context as soon as possible. there is basically nothing to gain by continuing.
if the shit i'm parsing isn't in the language there is no reason to continue. its invalid.
If you are writing a code editor you might want to continue parsing it. Or maybe you detected an error, but you want to report more than one error at a time for a better programmer experience. There are lots of use cases for partially parsing a computer program.
I had already explained why one might want to do this:
"Consider the problem of parsing a C program that has NOT been put through the preprocessor. You want to be able to do this for structure editors and source-to-source transformation systems."
One cannot in general parse un-cpped C/C++. But that doesn't mean it's useless to do as well as one can, even if it cannot be parsed exactly. Parsing is for more than just compilers.
I've written parsers for context-sensitive grammars, and as it turns out, this is not a desirable feature of a language. The reason you typically see simple parsers is because simple grammars are usually unambiguous and context-free, which is more convenient for humans to understand and internalize.
After all, when you're writing software, you pretend to be the compiler to some extent.
Natural languages, like English, are a good example of something which humans struggle with because they are complex, ambiguous, and often require context. Sure, it's extremely expressive, but that is the sharpest double-edged sword in programming languages.