If you always put the recommended tires on your TV as recommended from the dealer, use the door jam. The TV was designed to ride safely and smoothly at a specific tire pressure whether it was towing or not. Even with tires marked as max PSI, it is not recommended to fill to max. Always stick to the door jam and or sticker for recommended PSI on both the trailer and TV. I learned this from more than one dealer. Max PSI is just that "MAX".
Imaging if you filled a tire to max PSI. then the next day, you drove to your campsite. the site was a couple hours away and the weather was hotter that day. Air expands. now your "MAX" pressure is above max and you have a great chance of having a blow out and causing improper tread wear.
It does matter if you change tire ratings and even size as mentioned by OldCoot and Pap. recommended tire pressure is based on factory tires for your vehicle. So if you did upgrde, then your door jam is probably wrong. But even with factory tires, look at the door jam, and then look at the MAX PSI. they are not the same. Usually about 20 lbs off. Your max air pressure is just a safety rating. go above that and your being dangerous. Always check with the dealer if there is a question and they will tell you the same thing. Always get more than one "opinion".