How scrupulous is the FAA in maintaining the chain of ownership in an aircraft? By that I mean, if A sells a plane to B, and B sells it to C without ever registering it in B's name, will the FAA inquire as to why B never registered it in B's name?

With cars, I've often seen titles go thru a short term owner without registering. But with something as important as an aircraft, into whose trust the new owners place their lives, more care could be required.

I know that when a sale occurs, both parties are expected to send paperwork independently to the FAA, but in my example above, if B never submits their side of the first sale and only submits their side of the second sale, the FAA could ask What's Up?

Thanks in Advance, -glen