This is exactly what I did. For $1200 I have a Manjaro/Windows box along with a Chromebook running Lubuntu. My desktop runs at 4k resolution and my chromebook has over 10 hours of battery life
I built my desktop box three years ago and coupled it with a 449 50" 4k monitor, and am still on a four or five year old laptop.
I see now that the 7700k is 23% faster than the 4770k I built my box with. 23% improvement in bzip2 time is worth it to me.
It's great bang for the buck,