That can be done - hasn't been tried, but can be done.

What I really want is a TDR to confirm my suspicions about the location of the problem. Junction boxes are always on the short list of suspects - though cable makers have been known to make poor splices in their products.

Making a wild guess ... if the run is 500 ft, all but small sections (totaling maybe 10 ft.) is visible, run in the open, on cable tray. The only junction anywhere is in the box right under the fan.

I've got power leaving the starter, but not making it to the fan. It's that simple. Makes me wonder if the fan ever really did work.

FWIW, the cable / starter / fan IS identified incorrectly. This makes me speculate that the installer knew there was an issue somewhere.

22 fans on this part of the complex, and I have issues with 5. At least 4 are marked incorrectly. None have been greased, ever. One had the belt sheaves wildly out of line (loose set screw). I'm not impressed by the various contractors they've had "maintaining" these fans.