Wow! No wait, this is interesting. I guess CA is a place to be for a new LPR.
I am only familiar with CT rules. Sponsor income and asset deeming still applies even after 5 years for elderly LPR (not applicable for magi medical aka Obamacare). Unless the exceptions from affidavit of support occur (LPR becomes a US citizen, sponsor dies or LPR earns 40Q).
I guess I shouldn't be surprised the politics of particular state play a big part in access to public assistance.