They will publish the results of the US Census questions, without names, and will people lie or tell the truth?
The law requires a truthful answer.
So they ask her a bunch of questions about the abortion and then print the results.
The census does the same.
It draws a picture based on the answers.
Polls do the same thing - they don't give the names, just the results.
If you want to find the answers to questions, you need to ask them. To secure these answers to be made public, the law prevents disclosure of the names.
These questionaires aren't really unusual. I had to answer all kinds of questions and it wasn't about abortion. Those answers will be added to others and the results presented to some group without my name on it.
If I run a hospital and I see a large number of women coming in with a medical need and the number grows, I'd like to know what the problem is so I can address the cause to prevent symtoms that have an end result.
The State is just doing the same thing. If these medical procedures are so necessary then lets find out what is causing the problem and address it.
What people don't want is the government addressing Roe v Wade's "physician's medical judgment".
R v W remarked that the States have an interest and cannot interfere if there is a physician's medical judgment. It isn't just her choice. So, this questionaire should peg down the horrible medical conditions all these women are suffering and start addressing them.
Don't you want serious medical conditions addressed to save a woman's health?