I was at the point of replacing my fridge with a compressor unit because I thought it wasn't working correctly. Turns out, I just wasn't smart on how to use it properly.
Fist, I've never really worried about leveling. If the camper is leveled enough to sleep, it has been good enough for the fridge. I have never noticed an issue in this regards to the point where I have to take extra care. That could just be my fridge isn't as picky as others so don't read into this one more than you have to.
Second, like others have suggested, precooling is important but to a point. There has to be thermal mass inside the fridge in order for the process to really start working well. You aren't cooling the air inside, your are cooling the food inside. Taking temperature readings in an empty fridge I don't think gives an accurate reflection of what is going on. My fridge won't even get into the 30s until I stock it up with food and leave it for a day.
Third point, my trick to quickly cool the fridge if necessary is to throw ice in the bottom bin and then place a small USB powered fan above the ice to blow on it. This helps to distribute the cold all around faster through convection. Only thing is to remove the ice before traveling or at least check to see if there is water that should be dumped. One could do the same with frozen containers but getting ice at a store is easier if your already on the road than frozen bottles of liquid.
Fourth and I think one of the most important tips is to keep your door stocked with aluminum can beverages of your choice. Once cooled down, they operate in the same concept as the cooling fins in the back of the fridge by radiation. I find having the extra aluminum present can efficiently radiate the cold stored in the liquid. It helps to keep the fridge cold when the door is opened frequently during meal prep.
Remember, you aren't cooling the air inside, you are cooling the food inside. It's why these fridges take so much more time to cool, it's by radiation, not convection. It is a slow process but also very efficient.
Lastly, if you can spare it, throw a bag of ice in the freezer on the bottom. This helps to add more thermal mass that keeps the temperature consistent during frequent use.