This happens, indeed, but not really often (fortunately). But repeated bad handling can actually cause mechanical damage to the structure of the disc, without going as far as splitting into two halves.
I was mainly thinking of the higher data density, and the related much narrower mechanical tolerances for DVD burning and reading. The slightest warping for example will impact DVD burning/reading, though the same amount of warping will have a very limited impact on CDR. That's why BTW paper labels can be OK for CDRs but can have a huge negative impact on DVDR redability.
So the "superior" structure is not enough, in my view, to compensate for the much higher mechanical exigences. Thus the countless recommendations to take great care of DVDR, to store them vertically, to avoid warping them when talking them out of their cases, etc... :rolleyes: