MWI seems more elegant than Copenhagen in many formulations because the problem of the relative magnitudes of the worlds is swept under the rug. If I perform a quantum coin-flip with 2/3 possibility of heads, then it creates two worlds - but I end up in one of them twice as often - why? The only solutions I've seen to preserve the relative probabilities are: 1) sufficiently unlikely worlds sometimes just disappear, or 2) some kind of appeal to consciousness. These are at least as ad-hoc and hand-wavy as waveform collapse.