Sure it makes sense, but your cue isn't going where you look, and that's my only point. It's one of those things people say, but when you actually examine what it really means you see that no one actually shoots like that. I think generally speaking we like the cue ball to go where we look (or contact point, or whatever...some part of the cueball), and hopefully our bodies and mechanics work together to make that happen sort of naturally.
Yes, my cue IS going right down the line that I sighted, pointing at the OB or whatever target I have chosen for that shot (rail, spot on the wall, etc.).
Maybe you don't or can't do that and that's ok, to each his own. I'm not the expert teacher here, but I do it and it does work for me.
Perhaps we're just not communicating what it is we each do precisely.