I both roll my l/s shirts and wear s/s buttondowns. On a truly hot day, especially if it's humid, rolling a l/s is not at all comparable to wearing a s/s. VENTILATION, people.
The only short sleeved sport shirts I wear are a couple of seersucker shirts. I have western and linen long sleeved shirts that I roll. I have a short sleeved Ben Sherman somewhere, pattern is nice but overall it's kind of rubbish.