Rex, I suppose that anything is possible, but I don't think so.
"Try an average of up to five times better" does not mean five times better.
For one thing, if a GPS receiver is WAAS-enabled and was actively using WAAS for correction, and then if WAAS became blocked, the receiver ought to show the user some kind of indication that WAAS corrections were no longer active. At a minimum, the receiver's EPE should go to hell, but that is difficult to see on some GPS receivers.
Also, if your GPS receiver has a view of six or eight normal GPS satellites, then I can't think of any good reason why WAAS would be blocked unless there was an obvious tree blocking that central part of the view of the sky.
And then, the non-WAAS accuracy numbers you quote seem overly optimistic by a little bit. I always think of general maximum horizontal position accuracy of 15 feet, but that assumes great view of the sky, good satellite geometry, etc.
All of this is stating the maximum accuracy, primarily for the space segment, and this assumes that you have a perfect user segment (receiver), but this is seldom the case. A civilian aircraft can have a GPS receiver with some pretty impressive performance with a high quality atomic clock, and that includes a great antenna. By the time you get down to some eight-ounce handheld device running on a small battery, you may have less performance (at least shown as horizontal position accuracy).
Now, as it turns out, the primary purpose behind WAAS is not to augment the horizontal accuracy, although it does do that. The primary purpose is to augment vertical accuracy. When you are trying to land a jetliner in Category 3+ fog, if you are off by 50 feet to the side, you will still land OK, but it is much more important to know how far off the deck the nose gear of the airliner is. That is where WAAS wants to give you just a few feet of vertical accuracy. Of course, all of this is totally irrelevant to a backpacker on foot.
If you really really need some accuracy, then go get yourself a DOD secret clearance, buy yourself a mil-spec GPS receiver, plug in the crypto codes, and receive GPS L1 signal (civilian) plus GPS L2 signal (military). Now you have real accuracy. I digress.
–B.G.–