Most of you seem to be missing the point of the "insufficient losing
chances" rule. Under a "real" time control, it is _possible_ to reach
the next time control and get more time. It may be vanishingly
unlikely, but it's possible. This is not true with sudden-death. The
ILC rule was invented in order to make SD look more like "real" chess.
It's neither fish nor fowl, but given the determination of organizers
to use sudden-death, it was the best anyone could come up with.

It is worth noting that these claims are becoming increasingly rare,
as more players are now using time-delay clocks. (If the game starts
with a time-delay clock, no such claim is permitted. You just have to
play it out.)