Is it safe to use portable electric stove as space heater?
Appliances are designed and manufactured with safeguards appropriate for their intended use. If you look at radiant heaters they have protective grills over the exposed heating elements to prevent some unfortunate person from touching the hot part, and to prevent combustibles from inadvertently contacting the heating element. They also have features like "tip-over" switches that shut them off if someone trips over the cord, and over-temp thermal cut-off switches if they overheat.

Your burner is designed for short term supervised use as a cooker, not a heater. I can't say that it won't work as a heater, but I can say that you should not use it for that, especially in a basement that could become a deathtrap for the occupant if there was a fire.

p.s.- the manufacturer user guide says:


  
  Do not use appliance for other than intended use.