Hmm, I don't believe this study was conducted with a directed intent of including those born and raised by parents with the disorder,

"Borderline Personality Disorder Dimensional Features. Because both diagnostic interview and self-report measures may yield optimal assessment of BPD [81], we also included a dimensional measure of BPD in order to assess and validate the categorical measure of BPD.

For a large subset of the sample, a 15-item self-report scale was included, based on the BPD module of the Structured Clinical Interview for DSM-5 Axis II disorders (SCID-II) [82].

However, every participant did not complete this self-report measure, as it was added after data collection began. Additionally, some participants completed only interviews and did not return their packet of questionnaires including this measure.

Each item of the measure is rated dichotomously (0 = No, 1 = Yes), so that the total possible score ranged from 0–15, with higher scores indicating more features of BPD. For example, items included: “Have you often become frantic when you thought that someone you really cared about was going to leave you?” This scale is consistent with DSM-5 BPD criteria, and has been used in several other studies, with satisfactory internal reliability (α = 0.81) [83, 84]."

Aspects of it may have been included in the participents self report, however I believe that snippet will give you a better understanding of it than I can.

I think I can safely say that the scope of this study doesn't necessarily include that factor however I am far from the best that can interpret this study, I've only posted this since another commenter couldn't access the site.