I suppose doing s/POSIX/TCL/g (limited to regular expression usage obviously) would be an acceptable change.
Adding "Advanced" in appropriate places would be good too.
I suppose I took it as face value that we were POSIX compliant rather than just POSIX ERE compatible. It sounds like that was a false premise, though, and that our use of POSIX, for those people for whom its not just a noise word, implies a set of acceptable behaviors that we far exceed. Calling it TCL is more accurate and allows people to easily tie back our implementation to external resources like the first one above.