As ibrahim stated correctly, if it's not done right, it will fail.

However, due to license costs and the availability of cheap hardware - most notably the raspberry pi - Linux will probably be the cheaper solution. Not even mentioning that I've mostly seen that people run an oversized desktop computer instead of little chip that only uses ~5W.

I've done this a couple of time and use a little c programm with webkit to show a website: http://repat.de/2013/03/raspberry-pi-als-kiosk-mit-resourcenschonendem-browser-und-vesa-mount/