Hi Intrepid,
My guess is that there will be an abundance of walk-in permits available this summer. Which is good, ...for the reasons below. However here is the really bad part:

Due to the road construction on Whitney Portal Road, there will be a period, likely during most of the prime hiking season, that there will be NO parking allowed on the side of the road where most of the overflow parking has been in the past summers.

Also, due to the road construction and the limited parking availability, people MUST have a parking permit to park anywhere near Whitney Portal. People who snagged a permit in the lottery will be given ONE parking permit per hiking party.

And for the worst part: People getting walk-in permits will NOT be getting a parking permit. They MUST arrange transportation to the trail head that does not require parking.

So... if you can arrange a shuttle service, or can hitch hike to the portal, you will be ok. Shuttle services are few, and are listed in the first post of the Road Construction thread.