I cannot disagree with you as you either wrote the factory handout or are reading directly from it. Point of fact---the inner splined drive will ALWAYS turn unless the bolt is restrained by pre snugging with a wrench or by holding the head (some TC bolts have rivet heads and some have hex heads) or by preventing it turning by some other means. Often both will turn simaltaniously. All the TC bolts that I used were lubed with a wax concoction (that was not always true, some had NO lube)and were installed in the field in all types of weather, not a shop or controlled installation. When a torque wrench is applied to a TC bolt to check for correct torque (just because the tip twists off the correct tension is NOT always garanteed) the torque setting is somewhat lower than a conventional bolt(example-3/4 in. TC will click off at approxamitly 320 to 330 lbs/ft. whereas a conventional grade 5 will do 355 to 375 approx. with a normal Skidmore setup on the impact) We liked the TC bolts for many reasons already stated, but some of the fasteners faults include the necessity to pre tension each bolt, the lack of a universal type socket( a 45 degree was available),no pneumatic tool only electric, the wax lube degrading on bolts that had been in storage too long, damage to the splined tip, even a very small flaw ment the bolt could not be used and, the tips created hazards on the jobsite if they were not religiously picked up (they also hurt when dropped from high rise type structures). Hopefully some of these problems have been corrected in the years since I retired. I have installed or supervised the installation of TC bolts by the tens of thousands and can say that ,by and large, it is a very good system. Quality control in the manufacture of the bolts was acceptable and failures were rare when proper care on installation was observed. If you read some of the other threads pertaining to TC bolts you will see some of the other real world things that the system can or cannot handle.
The original question was "---does the TC splice socket turn the other way, or does it remain stationary?" To this my answer is directed.
Rod