well, I think the point of the policy is stopping the spread of the disease. what will hurt restaurants more than @btownbiker not giving his email to get into BWW is exponential growth positive cases.
If the restaurant policy Inslee proposed is just the gathering contact info and has nothing to do with a capacity limit or concerns about general demand, those restaurants seem pretty dumb for refusing to reopen. Unless they think the contact gathering will keep enough people away to make it not worth it, but if it wasn't there they'd be totally fine? (that also seems dumb)
If the sole point was to stop spread of the disease, the government would just keep them shut down and that'd be the end of that. The government's trying to achieve multiple goals, including getting the economy going a bit too.
Yes, the concerns about the policy also include capacity limits and demand, all pointing to if there's any point in opening. A portion of that demand concern would be people staying away because of perceived privacy concerns.
Now that I think about it, I imagine that people staying away because of health concerns are the ones who wouldn't care about the information gathering (for health purposes), and the ones staying away because of privacy concerns are the ones who don't give a eff about their health. So they're for sure not getting the dine in-business of you and bqqkie, and then guessing if there's enough in the middle to open up for.