What criteria do FAA VFR Charts use for High-Intensity Obstruction lights?
The DOF_README.PDF includes the following field description:


  Type of Lighting   
  
  "R": Red
  "D": Medium intensity White Strobe &amp; Red
  "H": High Intensity White Strobe &amp; Red
  "M”: Medium Intensity White Strobe
  "S" : High Intensity White Strobe
  "F" : Flood
  "C" : Dual Medium Catenary
  "W": Synchronized Red Lighting
  "L" : Lighted (Type Unknown)
  "N": None
  "U": Unknown


Since the charting would only use the "High Intensity" label if it was known, it would map to types H and S.   

It's also useful to note that the Aeronautical Chart User's Guide adds the following note:  


  High-intensity lights may operate parttime or by proximity activation.