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Most Heds (NOT Specialized) with a black steel rotor should be convertible. I'm not sure whether some very early Heds may have the non-convertible 6200 pattern freehub which was used on all the Specialized freehub wheels.
A strict reading of Regulations would make use of any kind of suicide hub illegal in a CTT time trial, but fitting a rear brake caliper would at least make it pass the "road legal" part of the Reg.
Do you even Fixxer? The conversion replaces the freehub rotor on common Shimano rear hubs, using the large hollow central bolt for attachment and the splines on the hubshell for drive.
A Specialized/Hed with just 1.37"x24 threads on the hub is for a screw-on multiple freewheel. You can get adapters to move the chainline to suit fixed use, but the adapter unscrews off the hub when you try to brake, so it's still a suicide hub even though the adapter has lockring threads.