So it's not only strategic ignorance, but selective ignorance too. By which I mean to say it only applies highly selectively.

If you have enough knowledge about the situation to know it's going to be 6/1 and 5/5, or 5/1 and 6/5, then that's a pretty clear distinction. You have quite a bit of knowledge, enough to narrow it to only two situations.

But as you raised, it could be 6/1 & 5/5, or 6/1 & 5/1000 or 6/(.0001% increase of global existential risk) & 5/(.0001% increase of the singularity within your lifetime).

The implications of your point being, if you don't know what's at stake, it's better to learn what's at stake.