Welcome to the forum. If a new OEM sensor doesn't fix the problem, then the cam angle may really be wrong at times.
This can result in the longer cranking times that you are experiencing.
These cams have VVT (variable valve timing). They can advance or retard the cam/crank timing for optimum efficiency.
They are controlled hydraulically with engine oil pressure & the PCM watches & adjusts the angle as necessary.
Always diagnose first.
POSSIBLE CAUSES:
LOW ENGINE OIL LEVEL
5-VOLT SUPPLY CIRCUIT OPEN OR SHORTED
CMP SENSOR 1 SIGNAL CIRCUIT SHORTED TO VOLTAGE
CMP SENSOR 1 SIGNAL CIRCUIT SHORTED TO THE 5-VOLT SUPPLY CIRCUIT CMP SENSOR 1 SIGNAL CIRCUIT SHORTED TO GROUND
CMP SENSOR 1 SIGNAL CIRCUIT SHORTED TO THE SENSOR GROUND CIRCUIT CMP SENSOR 1 SIGNAL CIRCUIT OPEN/HIGH RESISTANCE
SENSOR GROUND CIRCUIT OPEN/HIGH RESISTANCE
TONE WHEEL LOOSE OR DAMAGED
CAMSHAFT POSITION SENSOR 1
POWERTRAIN CONTROL MODULE (PCM)
CMP=camshaft position.
You are using a quality 5W-30 motor oil meeting Chrysler MS-6395?
A VVT oil valve 'cleaning' can be done with a capable scan tool: