These Automated tools are useful but they do not tell the whole picture. They give you scores and do actually perform some useful functions.
At Senclude we believe that the user is the ultimate judge of a website wether disable or not.
Time and time again I have come across websites that I dont even get to consider their accessibility as they are just not usable full stop or the engage the viewer with some sort of cinema big screen experience that takes time to load and is irrelevant in taking the user to the place they want to go to.
If you consider that a website in part is there to offer quality content and information that needs to be legible and easily read.
If that is achieved then you probably have an accessible website.
So in order to ref your headings, list items and have your HTML all stacked up you could have a look at these to help you on your way.
There are many more such tools and here at Senclude we will be posting them over the next few months, so remember to check back from time to time and if you find any there please drop us an email.