There are 2 main reasons deals fall apart, the most common is when a home  inspection reveals unknown issues.

House was a 3/2 that kept going on and off the market... inspection revealed the problem so we took the challenge.

We are familiar with both lead paint and asbestos issues.Here's a bit of info to keep in mind:  once you test for lead paint (probably asbestos in some cases) you will need to reveal your findings to ALL occupants, tenants, and buyers. 

To me: that statement reveals that they do not intend to stay. 

What you can do, is add a clause before all parties sign saying "if any significant damages unknown to the seller are revealed during the inspection period, then buyer shall have the right to re-negotiate, or receive a credit in the amount of the repair needed.

Just received an email stating they wanted to sit down for a reveal of the test results on Monday with their lawyer present.  

That would make it much easier to wholesale quickly if the inspection doesn't go terrible, and it will help reveal any issues you need to address if you are the one who purchases it, or reveal something that changes your mind about purchasing it in the first place. 

Inspections are valuable before closing as they can reveal negotiation points and if it is done by a pro you will get a full written report.

The short answer is not at the point of purchase, no.In six months when/if a new appraisal reveals a bunch of equity, at that point it can be put to work to get you a better deal on the financing. 

They still must reveal all legally required information/disclosures.