I might be having a mental block or missing something.
The age of the universe is 13.7 billion years since the inflationary stage in our part of the universe began. Looking at the outer edges of the known universe is like gazing back in time, ie the light takes 46.3 billion light years to reach us.
Why is the observed CBR over the entire observable universe approx 2.7 kelvin and not showing elevated temperatures towards the outer edges of the visible universe where we might expect it to be hotter if we are gazing back in time a billion or so years ?????