Yes, it's chilly in our house in the mornings. We are both wearing hats and hoodies and cozy socks for just that reason. But if you think it's still too cold, there are more options: vests! thicker hats! shoes!
And although I admire your initiative in trying to solve this problem in your own way, and it did work for a while, I would prefer it that you didn't pee all over yourself and me right after breakfast. The warmth only lasts for a couple minutes, and then we're wet and cold and have to do more laundry.
Thank you for your attention to this matter.