The thousand eggs fact is what tipped me over the edge and gave me the courage to stop Mordin - it's said earlier, I think by Wrex in ME1, that the genophage makes it so that only one in a thousand eggs hatches. That means Krogan women are capable of having, statistically, one baby a year, making them theoretically only slightly less fertile than humans. They also seem to live way longer, and are presumably fertile for longer than humans.
There's therefore no reason that Tuchanka should be such a shithole and Krogan males should be as pathetic as they are. 1400 years to rebuild, with a stable birthrate by any other species' standards, and they're still just fucking around killing each other!
And the Krogan women - who should be the most fucked up given that they're the ones who are dealing with clutches of unhatched eggs - seem to be the only ones who have their heads screwed on properly. So of course, they're subjugated and sidelined, according to Eve. Eve almost convinced me to let the cure go ahead when she said that the female tribes were united and ready to fight to secure the future, but then I thought: well, you can do that anyway, right now, without risking galactic armageddon. Your population is stable, you're not facing extinction or anything. If you think you can take over Tuchanka, why not do it now? I get that the genophage cure is meant to act as a diplomatic tool for her to use for her political goals, especially leveraging her status as the first fully fertile Krogan, but it's so dumb to risk everything on the off-chance that Eve and Wrex might be able to talk a bunch of blood-rage retards around. Especially since Wrex seems to have ambitions of conquest anyway.
The cure wasn't exactly difficult to make (terrible methods aside, it apparently took one Salarian dude to do all the groundwork and just Mordin to refine it) and Mordin's research presumably exists somewhere. If Eve manages to start a Krogan enlightenment and in a hundred years Krogan society looks completely different, then the genophage cure will still be around. But curing it now, during the time of ME3, with the fate of the Krogan (and therefore potentially the galaxy) resting on Eve managing to do the near-impossible? That's just suicidal, surely.
Also worth pointing out that the only reason Mordin got involved on this, unless I'm mistaken, is that the Krogan slowly naturally adapt to overcome the genophage anyway.