The USGA for many years apparently wanted to hold an Open at LACC - the members and management there refused such. Now apparently that feeling has changed... but if they were to do it, the course might need some changes - as Brian says. LACC does NOT want to do that.
As for Cypress, they remain with the thorny issue of having no minority members (I think) - the reason the Crosby was moved from there to Poppy Hills. But even assuming that can be overcome, well... I don't see Cypress as a major site. It is just so short that it would have to be bastardized to bejesus to avoid massive sub-par scores. That immediately eliminates US Open consideration, and likely PGA. Hell I as a fan would LOVE to see a major there, and could care less if 28 under wins. But I don't see even the PGA having this attitude, not to mention the USGA.
And you want to talk about a place that neither wants nor needs the aggravation... that's Cypress all over. I have to believe the members there would quit before they go to that type of bother.
TH