What those promoting radiocarbon dating is correct must remember is where the creature is from.
As there's a great Chick track that points out a fish that shows up at 5000 years old. What is happening is that sea dwelling creatures, especially deep sea fishes, mollusks, etc., are not able to get to the source of C14.
The reason is that N14 is converted in the upper atmosphere into C14. The only sea life that would be even close to having "normal" C14 levels would be those up top on or near the surface. Deep sea or benthic lifeforms don't generally go there to often and stock up on C14. If that little fact is neglected, then the detractors will continue to pound away on how "unreliable" it all is.
Then they'll start on Radium Halos.