Although these fans might mean well, in many cases they do not appear to realise that their 'heroes' perhaps would like to be left alone.

mean 在这里是动词，意思是"有...的意图"或"打算"。 well 在这里是副词，表示"好地、善意地"。 mean well 这个短语表示"本意是好的"或"出于好意"，指行为背后的意图是善良的，尽管实际效果可能不尽如人意。