rules on draw in blitz

... I was surprised to find that here, in bullet and blitz, you lose on time even if the opponent does not have sufficient material to mate. ...
These are draw situations. http://www.e4ec.org/immr.html
See also rule 6.9 http://www.fide.com/component/handbook/?id=124&view=article
"Except where one of the Articles: 5.1.a, 5.1.b, 5.2.a, 5.2.b, 5.2.c applies, if a player does not complete the prescribed number of moves in the allotted time, the game is lost by the player. However, the game is drawn, if the position is such that the opponent cannot checkmate the player’s king by any possible series of legal moves."
There is sufficient material if you can helpmate.
Hi!
As a previous user of another chess website I was surprised to find that here, in bullet and blitz, you lose on time even if the opponent does not have sufficient material to mate. I find this wrong, anybody agree with me? Or not?