It sounds like your question is related to the likelihood of accreditation as opposed to the importance of it. I'm certainly not an expert here but I would suspect that, among numerous variables, one of the key components would be the cause for lack of current accreditation. If the site is relatively new and needed to compile outcome data, this would be a good sign compared to other reasons for non-accreditation. This would not guarantee subsequent accreditation but at least it would not be an issue related to a history of negative site reviews. Further, from what I have been told, sites generally have a good idea of what the outcome may be following a visit - anything can happen and it is, irrefutably, a risk, but the site visit often illuminates that which is most likely to follow. Whether or not you would be told specific and accurate information, who knows - but it's worth asking if you have not obtained information related to why they are not currently accredited. If this is a really good site for you, I'd say that it is certainly important to gather that information to prevent losing out on a great fit. That's my opinion on the matter.