Sounds like a normal Chrysler trans programming. I used to have a Dodge Intrepid with the 3.5L in it and it did the samething. The trans I know is different behind 3.5L in the 300. But it could be the same for fluid temp. Here is the specs for trans fluid temp operation for the 42LE trans that was behide the 3.5L in the Trep from the FSM:
OPERATION CHARACTERISTICS AT VARIOUS FLUID TEMPERATURES
Overview
42LE transaxle shift schedule depends on temperature of transaxle fluid. The shift schedule is modified to
extend life of transaxle while operating under extreme conditions. Transaxle fluid temperature is measured by
transmission temperature sensor, located in Transmission Range (TR) sensor.
If transmission temperature sensor fails, TCM will default to a calculated fluid temperature which is calculated
from a combination of inputs. Calculated fluid temperature is continually updated and retained in memory for
20 minutes after ignition switch is turned off. When vehicle is started after an extended OFF time, calculated
fluid temperature is reinitialized at a value between battery temperature and engine coolant temperature signals
received from PCM. Calculated fluid temperature may become inaccurate during extreme operation, causing
incorrect shift schedule. Highlights of various shift schedules are as follows:
Extreme Cold Fluid Less Than -16°F (-26°C)
Park, Reverse, Neutral and 2nd gear only.
Cold Fluid -12°F (11°C) To Less Than 36°F (2°C)
Delayed 2-3 upshift (22-31 MPH).
Delayed 3-4 upshift (45-53 MPH).
Early 4-3 coast downshift (30 MPH).
Early 3-2 coast downshift (17 MPH).
Prevented high speed 4-2, 3-2, 2-1 kickdown shifts.
No TCC.
Warm Fluid 36°F (2°C) To Less Than 80°F (27°C)
Normal operation.
No TCC.
Hot Fluid 80°F (27°C) To Less Than 250°F (121°C)
Normal operation.
Full TCC engagement (except closed throttle operation,70-83 MPH).
Overheated Fluid Greater Than 230°F (110°C)
Delayed 2-3 upshift (25-32 MPH).
Delayed 3-4 upshift (41-48 MPH).
3rd gear full TCC engagement from 30-48 MPH.
3rd gear partial TCC engagement from 27-31 MPH.
Super Overheated Fluid Greater Than 240°F (116°C)
Delayed 2-3 upshift (25-32 MPH).
Delayed 3-4 upshift (41-48 MPH).
3rd gear full TCC engagement from 30-48 MPH.
3rd gear partial TCC engagement from 27-31 MPH.
2nd gear partial TCC engagement above 22 MPH.
TCC will not unlock above 22 MPH unless throttle is closed.