Well, the Crank Sensor does it temperature sensitive with age. Well, SOME do. I'd change it. You can buy them locally, most wont work, but you can always waste your time and money and go to Autozone - or you can order the RIGHT part here:
https://www.germanautosupply.com/mer...ensor-238.html


But an engine that won't start hot but will start cold can point to fuel mixture problems. When did you last:

• Replace the engine air filters (if you have to ask where they are, then they need changing)
• Clean the MAF (that is, take it off the car and clean it, preferably with actual MAF cleaner)
• Run some "Seafoam" thru the fuel system
• If the car is near 100,000 miles, I'd change all 12 plugs and wires, my Graphite started doing ODD stuff around 97,000 or so. Misfires, cranky starting, O2 sensor codes - and yet, just putting in pLugs and wires cleared it ALL up.