If the problem is the wiring... the problem is the wiring. That's the most common cause of an error 52 and it's the cheapest thing to do to try to fix it.
If you want to try swapping sensors, have at it (the one by the starter sucks and is very easy to break, so be careful). You can get used sensors, but then if the error continues you still don't know if it's wiring or another bad sensor... new sensors are VERY expensive.
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