I LOVE Les Mis, but All I Ask of You is one of the most stunning Broadway ballads. It's incredible and while they're both cheesy, a Heart Full of Love JUST overcrosses the Cheesiness Boundary. AIAOY is more conversational and normal, making it more relatable and beautiful.
Rosencrantz: "Be happy - if you're not even HAPPY what's so good about surviving? We'll be all right. I suppose we just go on."
- from Tom Stoppard's Rosencrantz and Guildenstern are Dead