I'm very much of the mind that Housings should increase the rate a city increases. It doesn't matter if they have their own Storage Pit or not, it's the availability of more housing for more people to move in to.
If nothing else they might be able to influence the growth wastage factor for that city? Higher density giving more bonus to growth rate, lower density not so much, lowest maybe not at all.
As for

I see housing as enabling higher population numbers which in itself gives rise to more

. Thus lower density and higher wealth at least could be lower in the

factor, maybe even with low density and high wealth getting +

even, while high/super density and low wealth would have a lot more

(but faster growth).
There'll probably be an outcry (waits for it) if I suggest limiting city sizes and increasing those sizes by the housings built but it's for me the perfect way to place some limit on city sizes, one that actually makes sense. If you don't have enough housing for the people then how can the population increase? And there should be enough housings to build to easily get to and past any limits, just have to take that bad with the good and build those housings.
As for crime rate, DH, I don't agree. Wealthier might not have anything to do with it but happy does. The more people are content and can get what they need, and a bunch of what they want, the less crime there is. Might be that crimes in high wealth concern more money but there's still less of them. Only the ones not content, and some morons thinking they can get away with anything, would be the criminals.
In a lower wealth housing area there's more people malcontent and that breeds crime. Might be more crimes worth less money and more violence crimes but a bunch more of them, not all which get reported either.
Cheers