If I get on unemployment, could I still qualify for subsidized housing?

I have high paying job, probably top 10 percentile, but I rent in an old building, so its cheap. I could pay my rent on unemployment, and now with the new medicaid thing get free health care. I don't carry a lot of expenses, my car I paid for in cash. But right down the block the same exact buildings are offered as low income housing, I think the subsidy pays like 70% of the rent. Could a hardworking American who doesn't use credit cards, get the same treatment as people who do nothing all day, and take 26 weeks off?