Although Bill believes overall it's a wash as to who's (un-)luckier, he can traverse space and time, for the most part, at will.

"The Nexus doth seem well-stocked with refugees, now that I ponder upon it. But when I sojourn here, it be by choice." Of course, she could have interdimensional traveling abilities he's totally unaware of, which would be totally handy for when the universe ends.