I would think that it would get quite a bit warmer over the long term under the hood. I've lifted the lid in the rain and had the drops hissing and sizzling when they hit stuff- I haven't fried yet in the driver's seat.
Sure it's warmer under the hood. That's why we want to put the bottle there. If you're thinking it's too warm, well, water at , say 150 deg. F, is pretty much the same as water at 70 deg. F. It only becomes hornery at 212 deg. F. It's a matter of placement under the hood. Your plastic windshield wiper fluid bottle doesn't melt, does it? Why? Because its located far enough away from the sizzling bits. <img src="/images/graemlins/smile.gif" alt="" />