Since both state the time and place of birth, and since the citizenship status of his parents is not disputed by anyone AFAIK, I'd say they are equal in this respect. If you disagree, what additional information do you think the long form could hypothetically contain that would have a bearing on Constitutional qualifications?
I assume from your response that you’ve not seen generic copies of the long form and the short form certificates.
The question was “which has...more and more detailed info directly related to presidential qualifications...?
Would you like a link to the two so you can see the differences?