The Dell XPS 13 9370 laptop supports rapid charging using USB Power Delivery 2.0 through its two Thunderbolt 3 based USB Type-C ports, but it unfortunately won't charge when connected to one of the USB Type-C ports on the Henge Docks Stone. Note that this is a non USB Power Delivery capable USB Type-C port at the back of the Stone that provides up to 10.5 watts charging which the XPS 13 9370 was plugged in.
With a 35% battery level on the XPS 13 9370, the laptop was not able to pull any current from the Stone thus no charging happened. Click here to download the trace captured by the GRL-A1 power analyzer to see more details on how the Stone charges the XPS 13 9370 at 35% battery charge.
Download the A1 software from Granite River Labs here to view the trace.