Afaik, the issue wasn't even that she was forced to the ultrasound and given that booklet, but that she had to wait 72 hours to think about her decision, which in this case lead to higher costs for her (travelling/hotel) than she could effort since there was only one abortion clinic in the whole state.
The booklet etc. were mentioned as arguments for why this is religious discrimination because the booklet does mention things that are clearly a matter of belief (i.e. at which point a fetus can be considered a human being) and because the waiting period was based on the reception of the booklet and not on how long the person already thought about their choice beforehand.
Technically, I wouldn't mind a waiting period, as long as it's reasonable - I had a surgery on my nasal sinuses and septum due to some malformations hindering me from breathing properly through my nose, and even when my doctor recommended me to get it done he preferred not giving me a surgery appointment before I had taken some time to think about it (which I used to get a second opinion etc.). So, I'm not in the US, but it seems like this is fairly standard for procedures that are not entirely necessary from a medical standpoint (and what is necessary is often open to interpretation).
But with something like a pregnancy one obviously can't wait forever, and as mentioned before, the issue rather seems to be the lack of clinics ready to do an abortion at all. Which is a shame for a 1st world country like the US.
Whether such a waiting period or such informations are useful in general for helping people making a decision that they won't regret isn't really the argument here, though, but whether people wanting a medical procedure, as controversial as might be, should be given unscientific information.
And I see no reason why that should be.
Personally, I'd tend to be pro-choice. There are already enough humans anyway
There certainly are cases in which the situation would have turned out better if the person hadn't aborted, but one can't predict that.
Also, generalizing
a lot here, but either people who want to make this choice are intelligent/stable/mature enough to come to a proper decision (and should therefore be left to decide that themselves), or they are not intelligent/stable/mature enough to be expected to be good parents in any case.
And forcing someone to carry out a pregnancy they don't want will obviously lead to all kinds of bad consequences.
I wouldn't be entirely opposed to them having to talk to a psychologist first to make sure that they have thought about it and are not making too hasty a choice, but considering the general waiting periods for psychologists it seems unlikely that this could be organized in a way that doesn't lead to unreasonable waiting periods. Also, from what I hear, a lot of American psychologists seem to be religiously biased and may try to use that position to force their religious beliefs on their clients.