I have a 64 235, and mine has a heated pito tube as standard. But Looking at the parts manual it looks like it could go either way:
65797-05 E,F HEAD ASSEMBLY - Pitot (unheated)
69041-05 E,F HEAD ASSEMBLY- Pitot (heated)
E- Used on PA-28-140 with serial numbers 28-20281 to
28-24999 incIusive, PA-28-150, PA-28-160 and PA-
28-180 with seriaI numbers 28-1761 to 28-2477
incIusive, and PA-28-235 with seriaI numbers 28-
10487 to 28-10675 inclusive.
F- Used on PA-28-150, PA-28-160 and PA-28-180 with
seriaI numbers 28-2478 to 284377 incIusive, and PA-
28-235 with seriaI numbers 28-10676 to 28-11039
inclusive .
I'm guessing this depends on the option that was chosen when someone bought the plane. From the picture I'm guessing if you remove the existing head you can see if the wires are there.