Did I do something bad by applying on my own for Medi-CAL before I was asked to apply for SSDI by my LTD provider??

I'm really hazy on who belongs to what... I thought that Medi-CAL was a state department.
My concern is, when I told the Social Security Department (for SSDI) that I have never applied before did I accidentally tell them a falsehood?

I applied back in February (?) and they just told me this week I have a disability determination appt next week. And I don't want to do anything wrong- especially since I still haven't started the process for my LTD's offer for the Social Security Advocate to help my SSDI claim.

p.s. what do they do at a Medi-CAL disability examination anyway?

thank you guys!!!!