A more practical problem with alternative materials is that they can't be resized (some jewelers will resize Ti a little, but it's challenging). The alternative materials are cheap enough that you can buy a replacement that's the right size, but if you're sentimental (and a wedding band seems like something one might be sentimental about) it's a problem.
There's nothing wrong with alternative materials, it's just that sometimes the drawbacks are overlooked while being dazzled by the advantages.
Cutting Stainless, Titanium rings: http://www.loupe-magnifier.com/electric-ring-cutter.htm
Cracking Tungsten rings : http://www.loupe-magnifier.com/tungsten_finger_ring_removal_...
UCSF Fresno PDF on "Emergency Hard Metal Ring Removal" http://www.loupe-magnifier.com/snowdenposter2010.pdf