Many things have been said about unhappy position of a languge learner who strives desperately to connect to that subconcious thing that lets native speaker feel and understand the language, which he -- the foreigner -- may gain only partial access to.
However, there is one thing foreigner can do that native can't. Foreigner can appreciate language. To me, speaking English is an art, and not a routine.
Also, I can't picture a native speaking a Shakespeare-esque language in his daily life. Can't imagine him employing that archaic grammar, except in a quotation. But I -- I can perform whatever foolery I like. I don't have to sound natural, so I can sound fancy.