Well like Blake said, tastes evolve and change so I wasn't sure which I liked more.
Today I had to run to a local grocery store and grab something and while I was there I noticed that they carried both brands and I thought of this thread. I grabbed one of each (I have some CH but have no idea of its age so I wanted to smoke both fresh to make a decision).

So I got home and loaded up a cob with each and lit them both. I went back and forth having a few puffs of one, then a few puffs from the other.
They tasted very similar overall, which is not surprising as both are Middleton burleys. The main difference was that the CH had slightly sweeter pouch note and it did translate into the taste as well.

I'm a fan of sweeter tobaccos so if I had to vote at this time, I would say Carter Hall is my pick of the two.
Even so, if I am in the mood for a burley blend, either would do the trick nicely.