Except that this study is based upon the amounts of C14 in deceased organic materials -- the same system used to date those materials.
Secondly and more importantly, regardless of whether or not this technique is valid for any purpose at all, the scientists believe it to be valid, which disproves the notion that there's a consensus in the scientific community that global warming is human-induced.
Which explains the limited time frame of about 10K years as that is the scope of the tree ring calander.
BTW creationists explain away >6K years worth of tree rings and ice layers by postulating more rapid season changes in the past.