Oh heavens no.
All Disney Parks and Resorts Internships and Programs Participants are treated equally when it comes to working conditions. Indeed, there are so few Disney CareerStart Program Participants that most regular-status Cast Members just end up lumping them together with their Disney College Program and Disney International Program counterparts.
I can certainly say that I personally wouldn't be able to differentiate DCS Participants from other Internships and Programs Participants if they didn't raise the subject.