I don't think being a captive croc implies a weaker immune system.
What it may mean is that they may still need to develope a response if the come across something they've never seen before (ie, wild fish instead of frozen rodents). This may or may not be noticeable, but unless luck has it that the first wild meal is an exceptionally pathogenic one, then illness is unlikely.
Two points important points that stem from this discussion.
1) Captive bred animals live longer, and healthier lives then wild counterparts (assuming of course, this is a species well understood, and husbandry is ideal). The main reason for this is not having to deal with predators, sickness, drought, other gators, parasites, famine ect ect.
2) As our understanding of reptile keeping evolves, and for smaller species, natural vivaria are becoming common place, we have begun to realize that miniscule versions of wild stressors may have more benefits than not having them. Does this make sense? You could say, a minature drought might be better than a constant water level; a fluctuation in food availability might be better than a prey/week schedule, and limiting, and not sterilizing parasitic burdens might not be such a bad thing.
By limiting, I mean regular deworming, avoiding/treating external parasites, and keeping a very clean enclosure.
Alot of this is opinion of course 
Ian