One thing to remember is that auto temp correction in a pH meter only adjusts for the electrical response of the probe at a temperature other than what it is calibrated for (20C usually). There is another, bigger difference which is that the mash pH actually changes; as temperature goes up, more hydrogen ions dissociate and the pH decreases.
The reference temperature of 5.2 is usually quoted at mash temperature, and would be closer to 5.5 at room temp. The range for conversion is pretty big, so I wouldn't sweat it. Your pH is lower than I go for an IPA, but I've never tried it.