This is an interesting topic. At home I use a 22" flatscreen monitor attached to a laptop for practice, and making Youtube videos. I turn the pages with a wireless mouse or keyboard - which can be done quite quickly, although I edit out page turns on the videos! I also have a 10" android tablet, which will display two pages side by side (using ezPDF Reader), and can turn using a quick tap. I have used this in performance with the help of a magnifier attached to my specs! However, the main problem I have with that is that there seems no way to disable the zoom function, so if you touch the screen to turn the page in the wrong way, you can zoom the image by mistake, which could be disastrous. I tend to use it for playing at functions from lead sheets, which can usually be displayed on a single page, and it is really excellent for that, because you can use a program like MobileSheets to set up playlists. That program will even handle repeats and turnbacks. Alas it doesn't yet support landscape view of two pages at once, although that feature has been promised for some time!An Airturn would certainly deal with that problem - although I would have thought it could compromise pedalling (especially if you are using the 'soft' pedal). Incidentally, there is a video on YouTube of a performance of a piano trio by Kapustin in which the pianist uses a widescreen monitor attached to a laptop, and in which he uses an Airturn.
I looked into it a while ago, couldn't find a way to use Apple computers (my preference); there are PC laptops that fold flat and can set on the music stand and have blue-tooth connections to air turn, they're just, well, PC computers.