P-metric or Euro-metric tires are designed for passenger cars. If you have them on your suv, pickup or van tow vehicle, they should be de-rated by 10%:
https://www.tirerack.com/tires/tiretech/techpage.jsp?techid=70
They are passenger tires and are designed for less load with respect to their rating. In an emergency situation such as an evasive maneuver there is much more than just the vertical force on them, plus the center of gravity is higher. LT tires are much more robust. I would change out my passenger car tires for LT tires prior to towing a heavy load (like a TT near the limit of my vehicle). With an LT tire you will have a much greater safety factor, and don't actually need to pump the tires up to max sidewall rated pressure where you will lose traction sooner in an evasive maneuver due to less contact area with the ground combined with less compliance with ground irregularities.