Are most programming languages really context-sensitive? or aren't they mostly context-free?

My days of fiddling with writing parsers are long ago (https://www.codeproject.com/Articles/7035/A-Java-Language-ID...) but if I remember correctly most languages aim for at most a LL(2) grammar, meaning they are designed so the parser doesn't have to peek more than two tokens ahead before being able to make a correct determination.