Not at all. After installing fans above and below my tank, I never see 80 degrees. I have a 225 display and a 75 sump, too. I evap a lot of water, but it's worth it, to me. If you wall mount your tank, with the back end in your garage, or something, that's an entirely different story.
Don't get me wrong, a chiller is a great idea; it's just not the only way to cool your tank.