Assuming Yale uses the IM calculation for financial aid, the problem isn't current income: it is savings and home equity. The financial aid formula actively penalizes savings in any form, as well as home ownership. If you have a meaningful nest egg in, say, the 1M+ range, you are guaranteed to have to pay full sticker price.

Therefore, in addition to being unemployed when my kids make it to college in 2035-36, I'll either have to blow our retirement funds before we turn 50, or persuade my kids that the Ivies just aren't worth it. Given my slacker tendencies, they'll pick up on the latter course of action via osmosis; never before have I rooted so much for nurture over nature!