Bill Skarsgård does that thing with his lazy eye. I think It was the only film he really got to use it in. The director was talking about doing it as a CGI effect, and Bill said "Like this?" and just did it himself.
I'm not condoning the Brown Bunny scene comment, but it's pretty unlikely for anyone to have seen this film unless they were looking for that scene (or at least researching instances of such scenes in film).