"Okay-ness" or not in my mind stems from the Anthony spokesperson's choice of the word "suspicions". Maybe this is just semantics, but...
Suspicions follow from questions about motives. Questions follow from issues with facts or their interpretation.
The Anthony's are questioning the motives of LE on the discovery and analysis of the facts surrounding this body. Prior to the discovery of the body, they were suspicious of LE not looking for Caylee alive. Now that a body is found, they are pursuing both suspicion #1 and a new suspicion #2 which appears to be that LE or ZG or someone else is trying to "frame" them.
I'm suspicious of the Anthony's because of the powerful motives they have to refute anything LE says that might put or keep Anthony family members in jail. Motives for LE or ZG or whoever else they are trying to blame here to "frame" them, are much more murky to me.
Call me crazy, but I think LE just likes to solve cases and "get it right"-- not go out of their way to frame innocent people. Call me naive, but I don't buy into conspiratorial theories that all cops are "dirty". And even if this were so, where does this put GA?
Do I have questions about the circumstances of the body's discovery, how it got there, etc? Yes. Am I willing to wait until facts are in from forensics to answer these questions? Yes. Do I trust the LE will be professional and ethical in handling this evidence? Yes. Do I trust the Anthony's and their defense team? Sadly, no. They haven't given me reason to believe otherwise.