We swapped our 13.5 for a 15 the second year we owned our Outback. It's 35 feet long and 3 slides. It made a big difference. This last week-end temps in central Indiana reached near 100 degrees. Ours did just fine. Of course, it was running first thing in the morning and we never turned it off. By 5:00 pm when temps maxed for the day, we were still quite comfortable.
One trick we learned with our previous 13.5 air conditioner; if the temps get too hot for the air conditioner to keep up comfortable, then retract one of the slides.
Our bedroom slide is a closet slide. It was the first to be closed. Our living room has 2 opposing slides. When temps got too hot, we'd close one slide in the living room. This reduced the square footage tremendously and the 13.5 kept us from roasting.
We haven't had to do that with the 15,000, and keep all 3 slides out. We do occasionally use the center air blast instead of the ducts. This blasts all the air directly in the living room and right where we sit. When coming in from outside, that instant blast of cold air is like getting hit with a bucket of ice!