I think one of the key things it means for me is focus - it means that I have someone around whom to orient my life, someone who loves me deeply and unconditionally, someone who involves me in a purpose that is much bigger than anything I might choose to get involved in on my own.
It means I don't always (often / ever!) need to know the total picture but to be content to do the things I am called to do.
And, yes, it should mean more - and it continues to mean more as I gain a deeper appreciation of who Jesus is and what he was prepared to do for me.
(Updated 15 minutes later!) Reflecting further on my last sentence it might suggest that this "gaining a deeper appreciation" is a steady, continual process whereas the reality is more that there are many ups and downs along the way with, hopefully, an overall upwards movement!