1) all items that involve mana will be wasted gold for them, that's actually a quite a lot of items that will waste their gold if they buy
2) their abilities normally don't do much damage or aren't combo abilities, compare kat to ryze, ryze can just run in, blow his load, killing you in a few seconds, but it takes time for kat to kill you, she can use spell after spell but she can't quickly unload them, same goes for garen, his abilities happen pretty slowly, he can't use any abilities while spinning which takes a lot of time in a fight.
mana-less champs are more about constant moderate damage rather than occasional high damage or luck-based insane damage (gp, trynd)